## Yau, Shing-Tung

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 Author ID: yau.shing-tung Published as: Yau, Shing-Tung; Yau, S.-T.; Yau, Shing Tung; Yau, S. T.; Yau, Shingtung; Yau, Shing-tung; Yau, Sing-Tung more...less Further Spellings: 丘成桐 Homepage: http://doctoryau.com External Links: MacTutor · MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef Awards: Fields Medal (1982) · Wolf Prize (2010)
 Documents Indexed: 564 Publications since 1970, including 14 Books 133 Contributions as Editor · 8 Further Contributions Biographic References: 21 Publications Co-Authors: 325 Co-Authors with 705 Joint Publications 8,274 Co-Co-Authors
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### Co-Authors

 112 single-authored 45 Lian, Bong H. 43 Liu, Kefeng 37 Ji, Lizhen 30 Schoen, Richard Melvin 25 Jerison, David S. 25 Wang, Mu-Tao 24 Gu, Xianfeng 22 Cao, Huai-Dong 21 Chen, PoNing 19 Smoller, Joel Alan 18 Cheng, Shiu-Yuen 17 Chung, Fan 17 Lin, Yong 17 Stanley, Richard Peter 16 Finster, Felix 16 Grigor’yan, Alexander Asaturovich 15 Yang, Lo 14 Hosono, Shinobu 14 Jost, Jürgen 14 Li, Jun 14 Mazur, Barry 14 Schmid, Wilfried 14 Yau, Stephen Shing-Toung 14 Zeng, Wei 13 Li, Peter 13 Lin, Wen-Wei 12 Lui, Lok Ming 12 Luo, Feng 12 Mrowka, Tomasz S. 11 Sun, Xiaofeng 11 Tseng, Li-Sheng 10 Gu, Xianfeng David 10 Huang, An 9 Meeks, William Hamilton III 9 Muranov, Yuriĭ Vladimirovich 9 Yau, Horng-Tzer 9 Zaslow, Eric 8 Fu, Jixiang 8 Kamran, Niky 8 Kisin, Mark 8 Singer, Isadore Manuel 8 Wang, Yalin 8 Wang, Ye-Kai 8 Xie, Dan 8 Yueh, Mei-Heng 7 Bieri, Lydia 7 Gu, David Xianfeng 7 Klemm, Albrecht 7 Siu, Yum-Tong 7 Zheng, Fangyang 6 Lin, Hai 6 Liu, Chien-Hao 6 Lusztig, George 6 Nadis, Steve 6 Papadopoulos, Athanase 6 Seidel, Paul 6 Tian, Gang 6 Wu, Damin 5 Bourguignon, Jean-Pierre 5 Chan, Tony Fan-Cheong 5 Collins, Tristan Clifford 5 Dai, Junfei 5 Jaffe, Arthur Michael 5 Lu, Linyuan 5 Miller, Warner Allen 5 Oguiso, Keiji 5 Poon, Yat Sun 5 Sheshmani, Artan 5 Xu, Hao 4 Alsing, Paul M. 4 Becker, Melanie 4 Bott, Raoul Harry 4 Chen, Bingyi 4 Esole, Mboyo 4 Greene, Robert Everist 4 Hübsch, Tristan 4 Jin, Miao 4 Kang, Ming-Chang 4 Lawson, Herbert Blaine jun. 4 Leung, Naichung Conan 4 Li, Tiexiang 4 Lippner, Gábor 4 Liu, Chiu-Chu Melissa 4 Luo, Wei 4 Phong, Duong Hong 4 Roan, Shih-shyr 4 Shu, Chi-Wang 4 Theisen, Stefan J. 4 Uhlenbeck, Karen Keskulla 4 Wang, Juven 4 Zuo, Huaiqing 3 Alim, Murad 3 Au, Thomas Kwok-Keung 3 Bauer, Frank 3 Chruściel, Piotr Tadeusz 3 de Jong, Aise Johan 3 Gao, Peng 3 Greene, Brian R. 3 Gukov, Sergei 3 Haghighat, Babak ...and 307 more Co-Authors
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### Serials

 46 Communications in Mathematical Physics 26 Advances in Theoretical and Mathematical Physics 25 Advanced Lectures in Mathematics (ALM) 24 Communications in Analysis and Geometry 19 Pure and Applied Mathematics Quarterly 18 ICCM Notices 17 Surveys in Differential Geometry 15 Journal of Differential Geometry 14 Communications in Information and Systems 14 AMS/IP Studies in Advanced Mathematics 13 Mathematische Annalen 12 Communications on Pure and Applied Mathematics 12 The Asian Journal of Mathematics 11 American Journal of Mathematics 11 Inventiones Mathematicae 10 Nuclear Physics. B 10 Mathematical Research Letters 8 Notices of the American Mathematical Society 7 Proceedings of the National Academy of Sciences of the United States of America 7 Annals of Mathematics. Second Series 6 Advances in Mathematics 6 Topology 5 Commentarii Mathematici Helvetici 5 Journal of Scientific Computing 5 Surveys in Differential Geometry. Supplement to the Journal of Differential Geometry 5 Communications in Number Theory and Physics 4 Classical and Quantum Gravity 4 Acta Mathematica 4 Journal of the American Mathematical Society 4 Science in China. Series A 4 Methods and Applications of Analysis 4 Journal of High Energy Physics 4 Proceedings of Symposia in Pure Mathematics 3 Journal of Mathematical Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Mathematische Zeitschrift 3 Homology, Homotopy and Applications 3 Annales Henri Poincaré 3 SIAM Journal on Imaging Sciences 2 Modern Physics Letters A 2 International Journal of Modern Physics A 2 Physics Letters. B 2 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Computer Aided Geometric Design 2 Annals of Physics 2 Bulletin of the American Mathematical Society. New Series 2 Nuclear Physics. B. Proceedings Supplements 2 Journal of Algebraic Geometry 2 International Journal of Modern Physics D 2 Turkish Journal of Mathematics 2 Physical Review Letters 2 Conference Proceedings and Lecture Notes in Geometry and Topology 2 Surveys of Modern Mathematics 2 Geometry, Imaging and Computing 2 Harvard University Center of Mathematical Sciences and Applications Series in Mathematics (CSMA) 1 International Journal of Modern Physics B 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Graph Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 The Mathematics Student 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 SIAM Journal on Matrix Analysis and Applications 1 Forum Mathematicum 1 CAD. Computer-Aided Design 1 Journal of the Ramanujan Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Random Structures & Algorithms 1 IMRN. International Mathematics Research Notices 1 Applied Mathematical Modelling 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Acta Mathematica Sinica. New Series 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) ...and 30 more Serials
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### Fields

 333 Differential geometry (53-XX) 193 Algebraic geometry (14-XX) 153 Several complex variables and analytic spaces (32-XX) 136 General and overarching topics; collections (00-XX) 125 Quantum theory (81-XX) 112 Global analysis, analysis on manifolds (58-XX) 98 Relativity and gravitational theory (83-XX) 74 Partial differential equations (35-XX) 53 History and biography (01-XX) 53 Manifolds and cell complexes (57-XX) 42 Numerical analysis (65-XX) 41 Combinatorics (05-XX) 27 Functions of a complex variable (30-XX) 27 Computer science (68-XX) 26 Algebraic topology (55-XX) 25 Number theory (11-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 18 Probability theory and stochastic processes (60-XX) 15 Convex and discrete geometry (52-XX) 13 Group theory and generalizations (20-XX) 13 Topological groups, Lie groups (22-XX) 9 Category theory; homological algebra (18-XX) 9 Special functions (33-XX) 9 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 7 Potential theory (31-XX) 7 Mechanics of particles and systems (70-XX) 6 Nonassociative rings and algebras (17-XX) 5 Geometry (51-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 5 Mathematics education (97-XX) 4 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 General topology (54-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 1 $$K$$-theory (19-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

435 Publications have been cited 13,016 times in 8,562 Documents Cited by Year
On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation. I. Zbl 0369.53059
Yau, Shing-Tung
1978
On the parabolic kernel of the Schrödinger operator. Zbl 0611.58045
Li, Peter; Yau, Shing Tung
1986
Harmonic functions on complete Riemannian manifolds. Zbl 0291.31002
Yau, Shing-tung
1975
Lectures on differential geometry. Zbl 0830.53001
Schoen, Richard; Yau, Shing-Tung
1994
Differential equations on Riemannian manifolds and their geometric applications. Zbl 0312.53031
Cheng, S. Y.; Yau, Shing-Tung
1975
On the proof of the positive mass conjecture in general relativity. Zbl 0405.53045
Schoen, Richard; Yau, Shing-Tung
1979
Some function-theoretic properties of complete Riemannian manifold and their applications to geometry. Zbl 0335.53041
Yau, Shing-Tung
1976
Mirror symmetry is $$T$$-duality. Zbl 0896.14024
Strominger, A.; Yau, S.-T.; Zaslow, E.
1996
On the existence of Hermitian-Yang-Mills connections in stable vector bundles. Zbl 0615.58045
Uhlenbeck, K.; Yau, S. T.
1986
Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces. Zbl 0352.53021
Cheng, Shiu-Yuen; Yau, Shing-Tung
1976
Calabi’s conjecture and some new results in algebraic geometry. Zbl 0355.32028
Yau, Shing-Tung
1977
Conformally flat manifolds, Kleinian groups and scalar curvature. Zbl 0658.53038
Schoen, Richard; Yau, Shing-Tung
1988
On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman’s equation. Zbl 0506.53031
Cheng, Shiu-Yuen; Yau, Shing-Tung
1980
Hypersurfaces with constant scalar curvature. Zbl 0349.53041
Cheng, Shiu-Yuen; Yau, Shing-Tung
1977
On the Schrödinger equation and the eigenvalue problem. Zbl 0554.35029
Li, Peter; Yau, Shing-Tung
1983
A general Schwarz lemma for Kähler manifolds. Zbl 0424.53040
Yau, Shing-Tung
1978
Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Zbl 0431.53051
Schoen, Richard; Yau, Shing-Tung
1979
Proof of the positive mass theorem. II. Zbl 0494.53028
Schoen, Richard; Yau, Shing-Tung
1981
A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Zbl 0503.53042
Li, Peter; Yau, Shing-Tung
1982
On the structure of manifolds with positive scalar curvature. Zbl 0423.53032
Schoen, Richard; Yau, Shing-Tung
1979
Submanifolds with constant mean curvature. I. Zbl 0304.53041
Yau, Shing-Tung
1974
Curvature estimates for minimal hypersurfaces. Zbl 0323.53039
Schoen, Richard; Simon, Leon; Yau, Shing-Tung
1975
Sasaki-Einstein manifolds and volume minimisation. Zbl 1161.53029
Martelli, Dario; Sparks, James; Yau, Shing-Tung
2008
On the regularity of the Monge-Ampère equation $$\text{det}(\partial^2u/\partial x_1\partial x_j)=F(x,u)$$. Zbl 0347.35019
Cheng, Shiu-Yuen; Yau, Shing-Tung
1977
Complete affine hypersurfaces. I: The completeness of affine metrics. Zbl 0623.53002
Cheng, Shiu-Yuen; Yau, Shing-Tung
1986
The geometric dual of $$a$$-maximisation for toric Sasaki-Einstein manifolds. Zbl 1190.53041
Martelli, Dario; Sparks, James; Yau, Shing-Tung
2006
On the regularity of the solution of the $$n$$-dimensional Minkowski problem. Zbl 0363.53030
Cheng, Shiu-Yuen; Yau, Shing-Tung
1976
Compact Kähler manifolds of positive bisectional curvature. Zbl 0442.53056
Siu, Yum-Tong; Yau, Shing-Tung
1980
Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces. Zbl 0814.53056
Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T.
1995
Stringy cosmic strings and noncompact Calabi-Yau manifolds. Zbl 0744.53045
Greene, B. R.; Shapere, A.; Vafa, C.; Yau, Shing-Tung
1990
Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature. Zbl 0361.53040
Schoen, Richard; Yau, Shing-Tung
1976
Calabi-Yau four-folds for $$M$$- and $$F$$-theory compactifications. Zbl 0920.14016
Klemm, A.; Lian, B.; Roan, S.-S.; Yau, S.-T.
1998
Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature. Zbl 0521.53007
Meeks, William H. III; Simon, Leon; Yau, Shing-Tung
1982
A lower bound for the heat kernel. Zbl 0481.35003
Cheeger, Jeff; Yau, Shing-Tung
1981
Lectures on harmonic maps. Zbl 0886.53004
Schoen, R.; Yau, S.-T.
1997
Mirror principle. I. Zbl 0953.14026
Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung
1997
On the upper estimate of the heat kernel of a complete Riemannian manifold. Zbl 0484.53035
Cheng, Siu Yuen; Li, Peter; Yau, Shing-Tung
1981
Local mirror symmetry: Calculations and interpretations. Zbl 0976.32012
Chiang, T.-M.; Klemm, A.; Yau, S.-T.; Zaslow, E.
1999
Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold. Zbl 0325.53039
Yau, Shing-Tung
1975
Open problems in geometry. Zbl 0801.53001
Yau, Shing Tung
1993
The existence of embedded minimal surfaces and the problem of uniqueness. Zbl 0479.49026
Meeks, William H. III; Yau, Shing-Tung
1982
Ricci curvature and eigenvalue estimate on locally finite graphs. Zbl 1232.31003
Lin, Yong; Yau, Shing-Tung
2010
The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation. Zbl 1141.53036
Fu, Ji-Xiang; Yau, Shing-Tung
2008
Kähler-Einstein metrics on complex surfaces with $$C_ 1>0$$. Zbl 0631.53052
Tian, Gang; Yau, Shing Tung
1987
Topology of three dimensional manifolds and the embedding problems in minimal surface theory. Zbl 0458.57007
Meeks, William H. III; Yau, Shing-Tung
1980
Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds. Zbl 0446.58017
Yang, Paul C.; Yau, Shing-Tung
1980
On univalent harmonic maps between surfaces. Zbl 0388.58005
Schoen, Richard; Yau, Shing-Tung
1978
Complete Kähler manifolds with zero Ricci curvature. I. Zbl 0719.53041
Tian, G.; Yau, Shing Tung
1990
Li-Yau inequality on graphs. Zbl 1323.35189
Bauer, Frank; Horn, Paul; Lin, Yong; Lippner, Gabor; Mangoubi, Dan; Yau, Shing-Tung
2015
Complete Kähler manifolds with zero Ricci curvature. II. Zbl 0766.53053
Tian, Gang; Yau, Shing Tung
1991
The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn’s lemma. Zbl 0489.57002
Meeks, William H. III; Yau, Shing-Tung
1982
Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature. Zbl 0858.53071
Huisken, Gerhard; Yau, Shing-Tung
1996
Small resolutions of SU(5)-models in F-theory. Zbl 1447.81171
Esole, Mboyo; Yau, Shing-Tung
2013
Ricci curvature of graphs. Zbl 1237.05204
Lin, Yong; Lu, Linyuan; Yau, Shing-Tung
2011
On the heat kernel of a complete Riemannian manifold. Zbl 0405.35025
Yau, Shing-Tung
1978
Canonical metrics on the moduli space of Riemann surfaces. I. Zbl 1078.30038
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2004
Obstructions to the existence of Sasaki-Einstein metrics. Zbl 1149.53026
Gauntlett, Jerome P.; Martelli, Dario; Sparks, James; Yau, Shing-Tung
2007
Connectedness of the boundary in the AdS/CFT correspondence. Zbl 0978.53085
Witten, Edward; Yau, S.-T.
1999
Compact manifolds of nonpositive curvature. Zbl 0266.53035
Lawson, H. Blaine jun.; Yau, Shing-Tung
1972
Problem section of the seminar in differential geometry at Tokyo. Zbl 0479.53001
Yau, Shing-Tung
1982
Seminar on differential geometry. Zbl 0471.00020
1982
On the curvature of compact Hermitian manifolds. Zbl 0299.53039
Yau, Shing-Tung
1974
An estimate of the gap of the first two eigenvalues in the Schrödinger operator. Zbl 0603.35070
Singer, I. M.; Wong, Bun; Yau, Shing-Tung; Yau, Stephen S.-T.
1985
Compact group actions and the topology of manifolds with non-positive curvature. Zbl 0424.58012
Schoen, Richard; Yau, Shing-Tung
1979
Special Lagrangians, stable bundles and mean curvature flow. Zbl 1115.53054
Thomas, R. P.; Yau, S.-T.
2002
The existence of supersymmetric string theory with torsion. Zbl 1102.53052
Li, Jun; Yau, Shingtung
2005
Submanifolds with constant mean curvature. II. Zbl 0304.53042
Yau, Shing-Tung
1975
Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2006
BPS states, string duality, and nodal curves on $$K3$$. Zbl 0964.81521
Yau, Shing-Tung; Zaslow, Eric
1996
A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry. Zbl 0806.53064
Jost, Jürgen; Yau, Shing-Tung
1993
Positivity of quasilocal mass. Zbl 1267.83028
Liu, Chiu-Chu Melissa; Yau, Shing-Tung
2003
Isometric embeddings into the Minkowski space and new quasi-local mass. Zbl 1195.53039
Wang, Mu-Tao; Yau, Shing-Tung
2009
Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory. Zbl 1192.81312
Becker, Katrin; Becker, Melanie; Fu, Ji-Xiang; Tseng, Li-Sheng; Yau, Shing-Tung
2006
The existence of a black hole due to condensation of matter. Zbl 0541.53054
Schoen, Richard; Yau, Shing-Tung
1983
Upper bound for the first eigenvalue of algebraic submanifolds. Zbl 0814.53040
Bourguignon, Jean-Pierre; Li, Peter; Yau, Shing Tung
1994
The Poincaré-Lelong equation on complete Kähler manifolds. Zbl 0531.32007
Mok, Ngaiming; Siu, Yum-Tong; Yau, Shing-Tung
1981
Canonical metrics on the moduli space of Riemann surfaces. II. Zbl 1086.32011
Liu, Kefeng; Sun, Xiaofeng; Yau, Shing-Tung
2005
Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces. Zbl 1020.32508
Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T.
1995
Heat equations on minimal submanifolds and their applications. Zbl 0575.53038
Cheng, Shiu-Yuen; Li, Peter; Yau, Shing-Tung
1984
The energy and the linear momentum of space-times in general relativity. Zbl 0934.83031
Schoen, Richard; Yau, Shing Tung
1981
Discrete Green’s functions. Zbl 0963.65120
Chung, Fan; Yau, S.-T.
2000
Nonlinear analysis in geometry. Zbl 0631.53002
Yau, Shing Tung
1987
Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061
Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B.
1991
Balanced metrics on non-Kähler Calabi-Yau threefolds. Zbl 1264.32020
Fu, Jixiang; Li, Jun; Yau, Shing-Tung
2012
A note on our previous paper: On the existence of Hermitian Yang-Mills connections in stable vector bundles. Zbl 0678.58041
Uhlenbeck, K.; Yau, S. T.
1989
Taming symplectic forms and the Calabi-Yau equation. Zbl 1153.53054
Tosatti, Valentino; Weinkove, Ben; Yau, Shing-Tung
2008
Logarithmic Harnack inequalities. Zbl 0880.58026
Chung, F. R. K.; Yau, S.-T.
1996
The equivariant Dehn’s lemma and loop theorem. Zbl 0469.57005
Meeks, William H. III; Yau, Shing-Tung
1981
Cohomology and Hodge theory on symplectic manifolds. I. Zbl 1275.53079
Tseng, Li-Sheng; Yau, Shing-Tung
2012
From special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai transform. Zbl 1033.53044
Leung, Naichung Conan; Yau, Shing-Tung; Zaslow, Eric
2000
Arithmetic properties of mirror map and quantum coupling. Zbl 0867.14017
Lian, Bong H.; Yau, Shing-Tung
1996
Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces. Zbl 0908.32008
Hosono, S.; Klemm, A.; Theisen, S.; Yau, S. T.
1995
Essays on mirror manifolds. Zbl 0816.00010
1992
GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces. Zbl 0870.14028
Hosono, S.; Lian, B. H.; Yau, S.-T.
1996
Graph homotopy and Graham homotopy. Zbl 0990.05120
Chen, Beifang; Yau, Shing-Tung; Yeh, Yeong-Nan
2001
Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay. Zbl 0358.32006
Siu, Yum-Tong; Yau, Shing-Tung
1977
Three dimensional canonical singularity and five dimensional $$\mathcal{N} = 1$$ SCFT. Zbl 1380.81416
Xie, Dan; Yau, Shing-Tung
2017
Existence of Kähler-Einstein metrics on complete Kähler manifolds and their applications to algebraic geometry. Zbl 0682.53064
Tian, G.; Yau, S. T.
1987
Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres. Zbl 0297.57016
Lawson, H. Blaine jun.; Yau, Shing-Tung
1974
A Monge-Ampère-type equation motivated by string theory. Zbl 1122.35145
Fu, Jixiang; Yau, Shingtung
2007
Moment maps, nonlinear PDE and stability in mirror symmetry. I: Geodesics. Zbl 1469.58007
Collins, Tristan C.; Yau, Shing-Tung
2021
The dynamical model for COVID-19 with asymptotic analysis and numerical implementations. Zbl 1481.92147
Liu, Jijun; Wang, Liyan; Zhang, Qiang; Yau, Shing-Tung
2021
Supertranslation invariance of angular momentum. Zbl 1489.83004
Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung
2021
Weil-Petersson geometry on the space of Bridgeland stability conditions. Zbl 1464.32037
Fan, Yu-Wei; Kanazawa, Atsushi; Yau, Shing-Tung
2021
Evolution of angular momentum and center of mass at null infinity. Zbl 1471.83004
Chen, Po-Ning; Keller, Jordan; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung
2021
Stable surfaces and free boundary marginally outer trapped surfaces. Zbl 1482.53014
Alaee, Aghil; Lesourd, Martin; Yau, Shing-Tung
2021
On the sum of Ricci-curvatures for weighted graphs. Zbl 1486.53040
Bai, Shuliang; Huang, An; Lu, Linyuan; Yau, Shing-Tung
2021
Convergent conformal energy minimization for the computation of disk parameterizations. Zbl 1482.65029
Kuo, Yueh-Cheng; Lin, Wen-Wei; Yueh, Mei-Heng; Yau, Shing-Tung
2021
Evaluating quasi-local angular momentum and center-of-mass at null infinity. Zbl 07433589
Keller, Jordan; Wang, Ye-Kai; Yau, Shing-Tung
2021
$$(1,1)$$ forms with specified Lagrangian phase: a priori estimates and algebraic obstructions. Zbl 1442.14124
Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung
2020
Localized Donaldson-Thomas theory of surfaces. Zbl 1442.14175
Gholampour, Amin; Sheshmani, Artan; Yau, Shing-Tung
2020
Existence of solutions to mean field equations on graphs. Zbl 1447.35338
Huang, An; Lin, Yong; Yau, Shing-Tung
2020
Invariant metrics on negatively pinched complete Kähler manifolds. Zbl 07171893
Wu, Damin; Yau, Shing-Tung
2020
Nested Hilbert schemes on surfaces: virtual fundamental class. Zbl 1437.14054
Gholampour, Amin; Sheshmani, Artan; Yau, Shing-Tung
2020
Quasi-local energy with respect to de Sitter/anti-de Sitter reference. Zbl 1467.53020
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2020
Computational conformal geometry behind modern technologies. Zbl 1464.53003
Gu, Xianfeng; Luo, Feng; Yau, Shing-Tung
2020
Path complexes and their homologies. Zbl 1448.05171
Grigor&rsquo;yan, A. A.; Lin, Yong; Muranov, Yu. V.; Yau, Shing-Tung
2020
Optimized surface parameterizations with applications to Chinese virtual broadcasting. Zbl 07267851
Yueh, Mei-Heng; Huang, Hsiao-Han; Li, Tiexiang; Lin, Wen-Wei; Yau, Shing-Tung
2020
$$K3$$ surfaces from configurations of six lines in $$\mathbb{P}^2$$ and mirror symmetry. I. Zbl 1457.14084
Hosono, Shinobu; Lian, Bong H.; Takagi, Hiromichi; Yau, Shing-Tung
2020
A new efficient algorithm for volume-preserving parameterizations of genus-one 3-manifolds. Zbl 1457.65016
Yueh, Mei-Heng; Li, Tiexiang; Lin, Wen-Wei; Yau, Shing-Tung
2020
Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs. Zbl 1432.35213
Horn, Paul; Lin, Yong; Liu, Shuang; Yau, Shing-Tung
2019
A novel stretch energy minimization algorithm for equiareal parameterizations. Zbl 1417.65112
Yueh, Mei-Heng; Lin, Wen-Wei; Wu, Chin-Tien; Yau, Shing-Tung
2019
Li-Yau inequality for unbounded Laplacian on graphs. Zbl 1428.35651
Gong, Chao; Lin, Yong; Liu, Shuang; Yau, Shing-Tung
2019
Poisson metrics on flat vector bundles over non-compact curves. Zbl 1422.53057
Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung
2019
A geometric view of optimal transportation and generative model. Zbl 1430.49050
Lei, Na; Su, Kehua; Cui, Li; Yau, Shing-Tung; Gu, Xianfeng David
2019
iSIRA: integrated shift-invert residual Arnoldi method for graph Laplacian matrices from big data. Zbl 1452.65067
Huang, Wei-Qiang; Lin, Wen-Wei; Lu, Henry Horng-Shing; Yau, Shing-Tung
2019
Seiberg-Witten differential via primitive forms. Zbl 1412.81166
Li, Si; Xie, Dan; Yau, Shing-Tung
2019
The shape of a life. One mathematician’s search for the universe’s hidden geometry. Zbl 1435.32001
2019
Quantum statistics and spacetime topology: quantum surgery formulas. Zbl 1427.81059
Wang, Juven; Wen, Xiao-Gang; Yau, Shing-Tung
2019
The deformed Hermitian-Yang-Mills equation in geometry and physics. Zbl 1421.35300
Collins, Tristan C.; Xie, Dan; Yau, Shing-Tung
2018
ADE string chains and mirror symmetry. Zbl 1384.81125
Haghighat, Babak; Yan, Wenbin; Yau, Shing-Tung
2018
On the path homology theory of digraphs and Eilenberg-Steenrod axioms. Zbl 1391.05125
Grigor&rsquo;yan, Alexander; Jimenez, Rolando; Muranov, Yuri; Yau, Shing-Tung
2018
D-type fiber-base duality. Zbl 1398.83108
Haghighat, Babak; Kim, Joonho; Yan, Wenbin; Yau, Shing-Tung
2018
Calabi-Yau volumes and reflexive polytopes. Zbl 1404.14050
He, Yang-Hui; Seong, Rak-Kyeong; Yau, Shing-Tung
2018
Quasi-local energy with respect to a static spacetime. Zbl 1400.83003
Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung
2018
Complete Kähler-Einstein metrics under certain holomorphic covering and examples. (Métriques complètes de Kähler-Einstein sous certains revêtements holomorphes et exemples.) Zbl 1426.32012
Wu, Damin; Yau, Shing-Tung
2018
Evaluating small sphere limit of the Wang-Yau quasi-local energy. Zbl 1390.83052
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2018
Path homology theory of multigraphs and quivers. Zbl 1404.55010
Grigor&rsquo;yan, Alexander; Muranov, Yuri; Vershinin, Vladimir; Yau, Shing-Tung
2018
On topological approach to local theory of surfaces in Calabi–Yau threefolds. Zbl 1447.81184
Gukov, Sergei; Liu, Chiu-Chu Melissa; Sheshmani, Artan; Yau, Shing-Tung
2018
Wang and Yau’s quasi-local energy for an extreme Kerr spacetime. Zbl 1386.83054
Miller, Warner A.; Ray, Shannon; Wang, Mu-Tao; Yau, Shing-Tung
2018
Period integrals and tautological systems. Zbl 1410.32008
Huang, An; Lian, Bong; Yau, Shing-Tung; Yu, Chenglong
2018
On the existence of Hermitian Yang-Mills connections in stable vector bundles. Zbl 1415.32019
Uhlenbeck, Karen; Yau, Shing-Tung
2018
Three dimensional canonical singularity and five dimensional $$\mathcal{N} = 1$$ SCFT. Zbl 1380.81416
Xie, Dan; Yau, Shing-Tung
2017
A special Lagrangian type equation for holomorphic line bundles. Zbl 1375.32045
2017
Sharp Davies-Gaffney-Grigor’yan lemma on graphs. Zbl 1476.58027
Bauer, Frank; Hua, Bobo; Yau, Shing-Tung
2017
An efficient energy minimization for conformal parameterizations. Zbl 1380.65049
Yueh, Mei-Heng; Lin, Wen-Wei; Wu, Chin-Tien; Yau, Shing-Tung
2017
Pretty good quantum state transfer in symmetric spin networks via magnetic field. Zbl 1382.81049
Kempton, Mark; Lippner, Gabor; Yau, Shing-Tung
2017
Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions. Zbl 1370.81157
Putrov, Pavel; Wang, Juven; Yau, Shing-Tung
2017
Calabi-Yau modular forms in limit: elliptic fibrations. Zbl 1421.14009
Haghighat, Babak; Movasati, Hossein; Yau, Shing-Tung
2017
Homologies of digraphs and Künneth formulas. Zbl 1381.05062
Grigor&rsquo;yan, Alexander; Muranov, Yuri; Yau, Shing-Tung
2017
4d $$\mathcal{N} = 2$$ SCFT and singularity theory. II: Complete intersection. Zbl 1366.81256
Chen, Bingyi; Xie, Dan; Yau, Shing-Tung; Yau, Stephen S.-T.; Zuo, Huaiqing
2017
$$4d\; \mathcal{N} = 2$$ SCFT from complete intersection singularity. Zbl 1384.81139
Wang, Yifan; Xie, Dan; Yau, Stephen S.-T.; Yau, Shing-Tung
2017
Curvatures of moduli space of curves and applications. Zbl 1388.53077
Liu, Kefeng; Sun, Xiaofeng; Yang, Xiaokui; Yau, Shing-Tung
2017
A strong Harnack inequality for graphs. Zbl 1378.05119
Chung, Fan; Yau, Shing-Tung
2017
String-Math 2015. Proceedings of the conference, Tsinghua Sanya International Mathematics Forum in Sanya, China, December 31, 2015 – January 4, 2016. Zbl 1381.14004
2017
Quasi-local mass at the null infinity of the Vaidya spacetime. Zbl 1380.83078
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2017
Nonexistence for complete Kähler-Einstein metrics on some noncompact manifolds. Zbl 1382.32017
Gao, Peng; Yau, Shing-Tung; Zhou, Wubin
2017
The rest mass of an asymptotically anti-de Sitter spacetime. Zbl 1367.83010
Chen, Po-Ning; Hung, Pei-Ken; Wang, Mu-Tao; Yau, Shing-Tung
2017
Singularities and gauge theory phases. II. Zbl 1428.81124
Esole, Mboyo; Shao, Shu-Heng; Yau, Shing-Tung
2016
Negative holomorphic curvature and positive canonical bundle. Zbl 1357.53085
Wu, Damin; Yau, Shing-Tung
2016
Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations. Zbl 1339.49039
Gu, Xianfeng; Luo, Feng; Sun, Jian; Yau, Shing-Tung
2016
A remark on our paper “negative holomorphic curvature and positive canonical bundle”. Zbl 1373.53100
Wu, Damin; Yau, Shing-Tung
2016
Cohomology and Hodge theory on symplectic manifolds. III. Zbl 1353.53085
Tsai, Chung-Jun; Tseng, Li-Sheng; Yau, Shing-Tung
2016
Airy equation for the topological string partition function in a scaling limit. Zbl 1338.81305
Alim, Murad; Yau, Shing-Tung; Zhou, Jie
2016
Heterotic string compactification and new vector bundles. Zbl 1342.81450
Lin, Hai; Wu, Baosen; Yau, Shing-Tung
2016
Gauss-Manin connection in disguise: Calabi-Yau threefolds. Zbl 1348.14103
Alim, Murad; Movasati, Hossein; Scheidegger, Emanuel; Yau, Shing-Tung
2016
Quasilocal angular momentum and center of mass in general relativity. Zbl 1355.83004
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2016
On the validity of the definition of angular momentum in general relativity. Zbl 1335.83006
Chen, Po-Ning; Huang, Lan-Hsuan; Wang, Mu-Tao; Yau, Shing-Tung
2016
On a cohomology of digraphs and Hochschild cohomology. Zbl 1353.05056
Grigor&rsquo;yan, Alexander; Muranov, Yuri; Yau, Shing-Tung
2016
On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property. Zbl 1345.53077
Fu, Jixiang; Yau, Shing-Tung; Zhou, Wubin
2016
Semicontinuity of 4d $$\mathcal{N}=2$$ spectrum under renormalization group flow. Zbl 1388.81896
Xie, Dan; Yau, Shing-Tung
2016
Chain integral solutions to tautological systems. Zbl 1364.14031
Huang, An; Lian, Bong H.; Yau, Shing-Tung; Zhu, Xinwen
2016
Conserved quantities on asymptotically hyperbolic initial data sets. Zbl 1367.83011
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2016
From Riemann and Kodaira to modern developments on complex manifolds. Zbl 1354.53004
Yau, Shing-Tung
2016
Computational conformal geometry. Reprint of the 2008 hardback edition. Zbl 1339.65001
2016
Li-Yau inequality on graphs. Zbl 1323.35189
Bauer, Frank; Horn, Paul; Lin, Yong; Lippner, Gabor; Mangoubi, Dan; Yau, Shing-Tung
2015
$$D_5$$ elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory. Zbl 1333.81329
Esole, Mboyo; Fullwood, James; Yau, Shing-Tung
2015
Singularities and gauge theory phases. Zbl 1428.81123
Esole, Mboyo; Shao, Shu-Heng; Yau, Shing-Tung
2015
Invariant solutions to the Strominger system on complex Lie groups and their quotients. Zbl 1319.32022
Fei, Teng; Yau, Shing-Tung
2015
Spanning trees and random walks on weighted graphs. Zbl 1307.05207
Chang, Xiao; Xu, Hao; Yau, Shing-Tung
2015
Davies-Gaffney-Grigor’yan Lemma on graphs. Zbl 1342.58013
Bauer, Frank; Hua, Bobo; Yau, Shing-Tung
2015
Non-Kähler SYZ mirror symmetry. Zbl 1328.53108
Lau, Siu-Cheong; Tseng, Li-Sheng; Yau, Shing-Tung
2015
Conserved quantities in general relativity: from the quasi-local level to spatial infinity. Zbl 1319.83011
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2015
Cohomology of digraphs and (undirected) graphs. Zbl 1329.05132
Grigor&rsquo;yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung
2015
Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization. Zbl 1320.30040
Lui, Lok Ming; Gu, Xianfeng; Yau, Shing-Tung
2015
Time-dependent Hermite-Galerkin spectral method and its applications. Zbl 1410.65398
Luo, Xue; Yau, Shing-Tung; Yau, Stephen S.-T.
2015
Gravitational waves and their memory in general relativity. Zbl 1339.83004
Bieri, Lydia; Garfinkle, David; Yau, Shing-Tung
2015
On the pseudonorm project of birational classification of algebraic varieties. Zbl 1322.14033
Yau, Shing-Tung
2015
Extremal bundles on Calabi-Yau threefolds. Zbl 1328.14068
Gao, Peng; He, Yang-Hui; Yau, Shing-Tung
2015
Complete cscK metrics on the local models of the conifold transition. Zbl 1316.32017
Fu, Jixiang; Yau, Shing-Tung; Zhou, Wubin
2015
Adiabatic isometric mapping algorithm for embedding 2-surfaces in Euclidean 3-space. Zbl 1329.83049
Ray, Shannon; Miller, Warner A.; Alsing, Paul M.; Yau, Shing-Tung
2015
Accelerating black holes, spin-$$\frac{3}{2}$$ fields and $$C$$-metric. Zbl 1310.83021
Lin, Hai; Saifullah, K.; Yau, Shing-Tung
2015
Harnack inequalities for graphs with non-negative Ricci curvature. Zbl 1309.05117
Chung, Fan; Lin, Yong; Yau, S.-T.
2014
Teichmüller mapping (T-map) and its applications to landmark matching registration. (Teichmuller mapping (T-map) and its applications to landmark matching registration.) Zbl 1296.65028
Lui, Lok Ming; Lam, Ka Chun; Yau, Shing-Tung; Gu, Xianfeng
2014
Special polynomial rings, quasi modular forms and duality of topological strings. Zbl 1314.14081
Alim, Murad; Scheidegger, Emanuel; Yau, Shing-Tung; Zhou, Jie
2014
Homotopy theory for digraphs. Zbl 1312.05063
Grigor&rsquo;yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung
2014
Ricci-flat graphs with girth at least five. Zbl 1308.05038
Lin, Yong; Lu, Linyuan; Yau, S.-T.
2014
Generalized cohomologies and supersymmetry. Zbl 1288.81125
Tseng, Li-Sheng; Yau, Shing-Tung
2014
Graphs associated with simplicial complexes. Zbl 1297.05269
Grigor&rsquo;yan, A.; Muranov, Yu. V.; Yau, Shing-Tung
2014
A novel symmetric skew-Hamiltonian isotropic Lanczos algorithm for spectral conformal parameterizations. Zbl 1315.65036
Huang, Wei-Qiang; Gu, Xianfeng David; Lin, Wen-Wei; Yau, Shing-Tung
2014
...and 335 more Documents
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### Cited by 6,600 Authors

 136 Yau, Shing-Tung 121 de Lima, Henrique F. 51 Biswas, Indranil 46 Velásquez, Marco Antonio Lázaro 41 Jost, Jürgen 39 Tian, Gang 38 Rigoli, Marco 34 Grigor’yan, Alexander Asaturovich 32 Alías, Luis J. 32 Dos Santos, Fábio Reis 32 Romero, Alfonso 32 Tam, Luen-Fai 31 Klemm, Albrecht 31 Xu, Hongwei 31 Zhang, Xi 30 Rubio, Rafael María 30 Vafa, Cumrun 29 Chen, Xiuxiong 28 Aquino, Cicero Pedro 27 Cheng, Qingming 26 Li, Haizhong 26 Morrison, David R. 25 Hua, Bobo 25 Schäfer-Nameki, Sakura 25 Tosatti, Valentino 24 Miao, Pengzi 23 Meeks, William Hamilton III 23 Weinkove, Ben 22 Bao, Jiguang 22 Lin, Yong 22 Schoen, Richard Melvin 21 de Lima, Eudes Leite 21 Liu, Kefeng 21 Lui, Lok Ming 21 Ma, Li 21 Sparks, James 21 Stepanov, Sergeĭ Evgen’evich 20 Huang, Guangyue 20 Katz, Sheldon 20 Li, Jiayu 20 Setti, Alberto G. 20 Wang, Mu-Tao 20 Xia, Changyu 20 Yang, Xiao-Kui 19 Grimm, Thomas W. 19 Khuri, Marcus A. 19 Martelli, Dario 19 Rodríguez García, José Manuel 19 Smoller, Joel Alan 19 Wei, Guoxin 19 Wu, Jiayong 18 McInnes, Brett 18 Ni, Lei 18 Song, Jian 18 Taylor, Washington IV 18 Verbitsky, Misha 18 Xin, Yuanlong 18 Zhu, Xiaohua 17 Futaki, Akito 17 LeBrun, Claude R. 17 Li, Peter 17 Li, YanYan 17 Shi, Yuguang 17 Wang, Qiaoling 17 Weigand, Timo 16 Anderson, Michael T. 16 Braun, Andreas P. 16 Finster, Felix 16 Gu, Xianfeng 16 Li, An-Min 16 Lin, Hezi 16 Pigola, Stefano 16 Vezzoni, Luigi 16 Wang, Guofang 16 Yu, Chengjie 16 Zheng, Fangyang 15 Aledo, Juan Ángel 15 Angella, Daniele 15 Colding, Tobias Holck 15 Galloway, Gregory J. 15 Liu, Chiu-Chu Melissa 15 Mariño, Marcos 15 Bessa, Gregório Pacelli 15 Székelyhidi, Gábor 15 Ugarte, Luis 15 Wang, Linfeng 15 Xiao, Jie 14 Alarcón, Antonio 14 Arroja Neves, André 14 Cao, Huai-Dong 14 Cunha, Antonio W. 14 Eichmair, Michael 14 El Soufi, Ahmad 14 Liu, Shiping 14 Lu, Chinh Hoang 14 Lu, Zhiqin 14 Minasian, Ruben 14 Mok, Ngaiming 14 Phong, Duong Hong 14 Tsyganok, Irina Ivanovna ...and 6,500 more Authors
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### Cited in 517 Serials

 407 Journal of High Energy Physics 316 Communications in Mathematical Physics 313 The Journal of Geometric Analysis 283 Proceedings of the American Mathematical Society 266 Mathematische Annalen 258 Transactions of the American Mathematical Society 253 Advances in Mathematics 222 Nuclear Physics. B 222 Mathematische Zeitschrift 216 Calculus of Variations and Partial Differential Equations 202 Journal of Geometry and Physics 180 Inventiones Mathematicae 159 Journal of Functional Analysis 154 Journal of Mathematical Analysis and Applications 150 Duke Mathematical Journal 150 Annals of Global Analysis and Geometry 144 Differential Geometry and its Applications 113 Journal of Mathematical Physics 99 Geometriae Dedicata 98 Manuscripta Mathematica 93 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 87 International Journal of Mathematics 84 Journal für die Reine und Angewandte Mathematik 78 Annales de l’Institut Fourier 71 Tôhoku Mathematical Journal. Second Series 69 Journal of Differential Equations 69 Science China. Mathematics 68 Geometry & Topology 62 Journal of the American Mathematical Society 60 Geometric and Functional Analysis. GAFA 58 General Relativity and Gravitation 57 Compositio Mathematica 57 Bulletin of the American Mathematical Society. New Series 57 Acta Mathematica Sinica. English Series 56 Annali di Matematica Pura ed Applicata. Serie Quarta 56 Comptes Rendus. Mathématique. Académie des Sciences, Paris 54 Annales Henri Poincaré 51 Results in Mathematics 48 Potential Analysis 44 Chinese Annals of Mathematics. Series B 44 Communications in Partial Differential Equations 43 Communications in Contemporary Mathematics 41 Archiv der Mathematik 38 Classical and Quantum Gravity 38 Journal de Mathématiques Pures et Appliquées. Neuvième Série 38 Annals of Mathematics. Second Series 37 Letters in Mathematical Physics 34 International Journal of Modern Physics A 33 Acta Mathematica 31 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 30 Monatshefte für Mathematik 29 Topology and its Applications 29 Bulletin of the Brazilian Mathematical Society. New Series 28 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 27 Bulletin of the Australian Mathematical Society 27 Mathematical Notes 27 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 26 Archive for Rational Mechanics and Analysis 26 Israel Journal of Mathematics 25 Pacific Journal of Mathematics 25 Journal of Algebraic Geometry 25 Bulletin des Sciences Mathématiques 25 Journal of the European Mathematical Society (JEMS) 24 Communications on Pure and Applied Mathematics 24 Revista Matemática Iberoamericana 24 Journal of Scientific Computing 24 Science in China. Series A 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 22 Kodai Mathematical Journal 22 Discrete and Continuous Dynamical Systems 22 Mediterranean Journal of Mathematics 22 Frontiers of Mathematics in China 21 Mathematical Proceedings of the Cambridge Philosophical Society 21 Fortschritte der Physik 21 Publications Mathématiques 21 International Journal of Geometric Methods in Modern Physics 20 Rocky Mountain Journal of Mathematics 20 Osaka Journal of Mathematics 19 Journal of Differential Geometry 19 Proceedings of the Japan Academy. Series A 18 The Annals of Probability 18 Journal of the Mathematical Society of Japan 18 Nagoya Mathematical Journal 18 Complex Manifolds 17 Journal of Geometry 17 Journal of Mathematical Sciences (New York) 17 Physical Review Letters 16 Reviews in Mathematical Physics 16 Memoirs of the American Mathematical Society 16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 16 Applied Mathematics. Series B (English Edition) 16 Complex Variables and Elliptic Equations 15 Mathematische Nachrichten 14 Discrete Mathematics 14 Physics Letters. B 14 Selecta Mathematica. New Series 14 Living Reviews in Relativity 14 Communications in Mathematics and Statistics 13 Arkiv för Matematik 13 Glasgow Mathematical Journal ...and 417 more Serials
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### Cited in 63 Fields

 4,643 Differential geometry (53-XX) 1,752 Global analysis, analysis on manifolds (58-XX) 1,710 Partial differential equations (35-XX) 1,405 Several complex variables and analytic spaces (32-XX) 1,269 Algebraic geometry (14-XX) 1,013 Relativity and gravitational theory (83-XX) 1,004 Quantum theory (81-XX) 462 Manifolds and cell complexes (57-XX) 263 Calculus of variations and optimal control; optimization (49-XX) 240 Combinatorics (05-XX) 216 Probability theory and stochastic processes (60-XX) 211 Functions of a complex variable (30-XX) 188 Potential theory (31-XX) 158 Numerical analysis (65-XX) 157 Convex and discrete geometry (52-XX) 143 Operator theory (47-XX) 97 Functional analysis (46-XX) 94 Dynamical systems and ergodic theory (37-XX) 91 Number theory (11-XX) 90 Ordinary differential equations (34-XX) 88 Algebraic topology (55-XX) 82 Group theory and generalizations (20-XX) 76 Topological groups, Lie groups (22-XX) 73 Statistical mechanics, structure of matter (82-XX) 53 Computer science (68-XX) 52 Mechanics of particles and systems (70-XX) 46 Real functions (26-XX) 46 Mechanics of deformable solids (74-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 43 Category theory; homological algebra (18-XX) 42 Fluid mechanics (76-XX) 41 Special functions (33-XX) 36 Measure and integration (28-XX) 36 Geometry (51-XX) 35 Nonassociative rings and algebras (17-XX) 29 $$K$$-theory (19-XX) 29 Difference and functional equations (39-XX) 29 Abstract harmonic analysis (43-XX) 29 Information and communication theory, circuits (94-XX) 28 Operations research, mathematical programming (90-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 27 Statistics (62-XX) 26 Associative rings and algebras (16-XX) 21 Biology and other natural sciences (92-XX) 18 History and biography (01-XX) 18 Astronomy and astrophysics (85-XX) 16 Commutative algebra (13-XX) 16 General topology (54-XX) 16 Systems theory; control (93-XX) 14 Optics, electromagnetic theory (78-XX) 14 Classical thermodynamics, heat transfer (80-XX) 10 General and overarching topics; collections (00-XX) 10 Approximations and expansions (41-XX) 10 Integral equations (45-XX) 5 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

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