## Journal of Differential Geometry

 Short Title: J. Differ. Geom. Publisher: International Press of Boston, Somerville, MA ISSN: 0022-040X; 1945-743X/e Online: https://projecteuclid.org/journals/journal-of-differential-geometry/issueshttps://www.intlpress.com/site/pub/pages/journals/items/jdg/_home/_main/index.php Subseries: Surveys in Differential Geometry Comments: Indexed cover-to-cover
 Documents Indexed: 2,493 Publications (since 1967) References Indexed: 109 Publications with 3,469 References.
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### Latest Issues

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### Authors

 22 Yano, Kentaro 18 Meeks, William Hamilton III 17 Guillemin, Victor W. 15 Rosenberg, Harold 15 Yau, Shing-Tung 14 Donaldson, Simon Kirwan 14 Tam, Luen-Fai 14 White, Brian Cabell 13 Cheeger, Jeff 13 Hamilton, Richard S. 13 Li, Peter 12 Luo, Feng 12 Taubes, Clifford Henry 12 Yau, Stephen Shing-Toung 11 Lutwak, Erwin 10 Leung, Naichung Conan 10 Li, Jun 10 Lin, Chang-Shou 10 Liu, Kefeng 10 Ros, Antonio 9 Chen, Bang-Yen 9 Farrell, F. Thomas 9 Goldberg, Samuel I. 9 Gromoll, Detlef 9 Gromov, Mikhael Leonidovich 9 Grove, Karsten 9 Joyce, Dominic David 9 Weinstein, Alan David 9 Zhang, Gaoyong 8 Brendle, Simon 8 D’Atri, Joseph E. 8 Gabai, David 8 Goldschmidt, Hubert Leopold 8 Hsiang, Wu-Yi 8 Huisken, Gerhard 8 Kapovich, Michael 8 Schoen, Richard Melvin 8 Sullivan, Dennis Parnell 8 Wang, Jiaping 8 Wang, Mu-Tao 8 Wolf, Joseph Albert 8 Wu, Hung-Hsi 8 Yang, Deane 8 Zelditch, Steve 7 Baouendi, Mohammed Salah 7 Blair, David E. 7 Bowman, Robert H. 7 Chow, Bennett 7 Eichmair, Michael 7 Green, Mark Lee 7 Hsiung, Chuan-Chih 7 Ji, Lizhen 7 Lawson, Herbert Blaine jun. 7 Mazzeo, Rafe R. 7 Nadirashvili, Nikolai S. 7 Ogiue, Koichi 7 Terng, Chuu-Lian 7 Tian, Gang 7 Toth, John Andrew 7 Wolfson, Jon Gordon 7 Zhu, Xiping 6 Andrews, Ben 6 Ballmann, Hans Werner 6 Colding, Tobias Holck 6 Croke, Christopher B. 6 Fintushel, Ronald 6 Ilmanen, Thomas 6 Ishihara, Shigeru 6 Jost, Jürgen 6 Kon, Masahiro 6 Kronheimer, Peter Benedict 6 Kulkarni, Ravi S. 6 Melrose, Richard Burt 6 Obata, Morio 6 Okumura, Masafumi 6 Pérez Muñoz, Joaquín 6 Phong, Duong Hong 6 Ran, Ziv 6 Singer, Isadore Manuel 6 Spruck, Joel 6 Stern, Ronald John 6 Székelyhidi, Gábor 6 Tanno, Shukichi 6 Uhlenbeck, Karen Keskulla 6 Ziller, Wolfgang 5 Amur, Krishna S. 5 Belegradek, Igor 5 Brooks, Robert Wolfe 5 Bryant, Robert L. 5 Catanese, Fabrizio M. E. 5 Chau, Albert 5 Chen, Binglong 5 Chen, Xiuxiong 5 Dajczer, Marcos 5 De Lellis, Camillo 5 do Carmo, Manfredo Perdigão 5 Eberlein, Patrick B. 5 Gerhardt, Claus 5 Gieseker, David 5 Goldman, William M. ...and 2,073 more Authors
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### Fields

 1,589 Differential geometry (53-XX) 535 Global analysis, analysis on manifolds (58-XX) 469 Manifolds and cell complexes (57-XX) 310 Several complex variables and analytic spaces (32-XX) 281 Algebraic geometry (14-XX) 158 Partial differential equations (35-XX) 132 Dynamical systems and ergodic theory (37-XX) 92 Functions of a complex variable (30-XX) 74 Algebraic topology (55-XX) 73 Convex and discrete geometry (52-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 64 Topological groups, Lie groups (22-XX) 41 Quantum theory (81-XX) 37 Nonassociative rings and algebras (17-XX) 28 Number theory (11-XX) 24 Group theory and generalizations (20-XX) 23 Relativity and gravitational theory (83-XX) 18 Geometry (51-XX) 14 Potential theory (31-XX) 13 General topology (54-XX) 12 Measure and integration (28-XX) 12 Ordinary differential equations (34-XX) 12 Functional analysis (46-XX) 10 $$K$$-theory (19-XX) 9 Operator theory (47-XX) 7 Category theory; homological algebra (18-XX) 6 Abstract harmonic analysis (43-XX) 6 Integral transforms, operational calculus (44-XX) 6 Mechanics of particles and systems (70-XX) 5 Combinatorics (05-XX) 5 Commutative algebra (13-XX) 5 Associative rings and algebras (16-XX) 5 Probability theory and stochastic processes (60-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Numerical analysis (65-XX) 4 Information and communication theory, circuits (94-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

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2,309 Publications have been cited 57,991 times in 32,748 Documents Cited by Year
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1982
Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028
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1984
Problèmes isoperimetriques et espaces de Sobolev. Zbl 0371.46011
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1976
Flow by mean curvature of convex surfaces into spheres. Zbl 0556.53001
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1984
The topology of four-dimensional manifolds. Zbl 0528.57011
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1982
The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem. Zbl 0788.52007
Lutwak, Erwin
1993
Supersymmetry and Morse theory. Zbl 0499.53056
Witten, Edward
1982
Motion of level sets by mean curvature. I. Zbl 0726.53029
Evans, L. C.; Spruck, J.
1991
Variétés kähleriennes dont la première classe de Chern est nulle. Zbl 0537.53056
Beauville, Arnaud
1983
The heat equation shrinking convex plane curves. Zbl 0621.53001
Gage, M.; Hamilton, R. S.
1986
Asymptotic behavior for singularities of the mean curvature flow. Zbl 0694.53005
Huisken, Gerhard
1990
The local structure of Poisson manifolds. Zbl 0524.58011
Weinstein, Alan
1983
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds. Zbl 0493.53035
Cheeger, Jeff; Gromov, Mikhail; Taylor, Michael
1982
Filling Riemannian manifolds. Zbl 0515.53037
Gromov, Mikhael
1983
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
1982
Comparison geometry for the Bakry-Emery Ricci tensor. Zbl 1189.53036
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2009
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034
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1997
The inverse mean curvature flow and the Riemannian Penrose inequality. Zbl 1055.53052
Huisken, Gerhard; Ilmanen, Tom
2001
The heat equation shrinks embedded plane curves to round points. Zbl 0667.53001
Grayson, Matthew A.
1987
$$L_ p$$ affine isoperimetric inequalities. Zbl 1034.52009
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2000
Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301
McKean, H. P. jun.; Singer, I. M.
1967
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
2002
Pseudo-hermitian structures on a real hypersurface. Zbl 0379.53016
Webster, S. M.
1978
Four-manifolds with positive curvature operator. Zbl 0628.53042
Hamilton, Richard S.
1986
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
1983
The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033
Cheeger, Jeff; Gromoll, Detlef
1971
Morse theory for Lagrangian intersections. Zbl 0674.57027
Floer, Andreas
1988
Manin triples for Lie bialgebroids. Zbl 0885.58030
Liu, Zhangju; Weinstein, Alan; Xu, Ping
1997
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
1983
The conjectures on conformal transformations of Riemannian manifolds. Zbl 0236.53042
Obata, Morio
1971
A note on curvature and fundamental group. Zbl 0162.25401
Milnor, John W.
1968
A simple geometrical construction of deformation quantization. Zbl 0812.53034
Fedosov, Boris V.
1994
Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld). Zbl 0559.14008
Green, Mark L.
1984
On a set of polarized Kähler metrics on algebraic manifolds. Zbl 0706.53036
Tian, Gang
1990
Deforming the metric on complete Riemannian manifolds. Zbl 0676.53044
Shi, Wan-Xiong
1989
General $$L_{p}$$ affine isoperimetric inequalities. Zbl 1185.52005
Haberl, Christoph; Schuster, Franz E.
2009
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
2001
Sub-Riemannian geometry. Zbl 0609.53021
Strichartz, Robert S.
1986
Minimal submanifolds of low cohomogeneity. Zbl 0219.53045
Hsiang, Wu-Yi; Lawson, H. Blaine jun.
1971
Sharp affine $$L_ p$$ Sobolev inequalities. Zbl 1073.46027
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2002
Les variétés de Poisson et leurs algèbres de Lie associees. Zbl 0405.53024
Lichnerowicz, Andre
1977
The construction of ALE spaces as hyper-Kähler quotients. Zbl 0671.53045
Kronheimer, P. B.
1989
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
1990
Flat G-bundles with canonical metrics. Zbl 0676.58007
Corlette, Kevin
1988
Spectral geometry of singular Riemannian spaces. Zbl 0529.58034
Cheeger, Jeff
1983
The Yamabe problem on CR manifolds. Zbl 0661.32026
Jerison, David; Lee, John M
1987
Structure theorems on Riemannian spaces satisfying $$R(X,Y)\cdot R=0$$. I: The local version. Zbl 0508.53025
Szabó, Z. I.
1982
Zermelo navigation on Riemannian manifolds. Zbl 1078.53073
Bao, David; Robles, Colleen; Shen, Zhongmin
2004
On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043
Cheeger, Jeff; Colding, Tobias H.
2000
Growth of finitely generated solvable groups and curvature of Riemannian manifolds. Zbl 0207.51803
Wolf, J. A.
1968
Variational properties of functions of the mean curvatures for hypersurfaces in space forms. Zbl 0277.53030
Reilly, Robert C.
1973
Orlicz centroid bodies. Zbl 1206.49050
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2010
Blaschke-Santaló inequalities. Zbl 0906.52003
Lutwak, Erwin; Zhang, Gaoyong
1997
Foliations and the topology of 3-manifolds. III. Zbl 0639.57008
Gabai, David
1987
The total squared curvature of closed curves. Zbl 0554.53013
Langer, Joel; Singer, David A.
1984
The affine Sobolev inequality. Zbl 1040.53089
Zhang, Gaoyong
1999
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
1967
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
1983
Proof of the Riemannian Penrose inequality using the positive mass theorem. Zbl 1039.53034
Bray, Hubert L.
2001
A duality theorem for Willmore surfaces. Zbl 0555.53002
Bryant, Robert L.
1984
Boundary behavior of $$\bar \partial$$ on weakly pseudo-convex manifolds of dimension two. Zbl 0256.35060
Kohn, J. J.
1972
Scalar curvature and conformal deformation of Riemannian structure. Zbl 0296.53037
Kazdan, Jerry L.; Warner, Frank W.
1975
A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on $$K3$$ fibrations. Zbl 1034.14015
Thomas, R. P.
2000
Harmonic maps into Lie groups (classical solutions of the chiral model). Zbl 0677.58020
Uhlenbeck, Karen
1989
Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature. Zbl 0784.53035
Ilmanen, Tom
1993
Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
1992
Equivariant $$K$$-theory and completion. Zbl 0215.24403
Atiyah, Michael F.; Segal, G. B.
1969
The space of Kähler metrics. Zbl 1041.58003
Chen, Xiuxiong
2000
The normalized curve shortening flow and homothetic solutions. Zbl 0592.53002
Abresch, Uwe; Langer, J.
1986
The Harnack estimate for the Ricci flow. Zbl 0804.53023
Hamilton, Richard S.
1993
On complete gradient shrinking Ricci solitons. Zbl 1246.53051
Cao, Huai-Dong; Zhou, Detang
2010
The Yamabe problem on manifolds with boundary. Zbl 0771.53017
Escobar, José F.
1992
On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042
Cheeger, Jeff; Colding, Tobias H.
2000
Uniformly elliptic operators on Riemannian manifolds. Zbl 0735.58032
Saloff-Coste, Laurent
1992
Strong uniqueness of the Ricci flow. Zbl 1177.53036
Chen, Bing-Long
2009
The geometry of three-forms in six dimensions. Zbl 1036.53042
Hitchin, Nigel
2000
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
1983
A mathematical theory of quantum cohomology. Zbl 0860.58005
Ruan, Yongbin; Tian, Gang
1995
A combination theorem for negatively curved groups. Zbl 0724.57029
Bestvina, M.; Feighn, M.
1992
On Carnot-Caratheodory metrics. Zbl 0554.53023
Mitchell, John
1985
A differential complex for Poisson manifolds. Zbl 0634.58029
Brylinski, Jean-Luc
1988
A degeneration formula of GW-invariants. Zbl 1063.14069
Li, Jun
2002
The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Zbl 1303.52002
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang
2014
Finite-time blow-up of the heat flow of harmonic maps from surfaces. Zbl 0765.53026
Chang, Kung-Ching; Ding, Wei-Yue; Ye, Rugang
1992
Quadratic functions in geometry, topology, and $$M$$-theory. Zbl 1116.58018
Hopkins, M. J.; Singer, I. M.
2005
On the evolution of harmonic maps in higher dimensions. Zbl 0631.58004
Struwe, Michael
1988
Compact four-dimensional Einstein manifolds. Zbl 0281.53039
Hitchin, Nigel J.
1974
Geometric quantization of Chern-Simons gauge theory. Zbl 0697.53061
Axelrod, Scott; Della Pietra, Steve; Witten, Edward
1991
A fibre bundle description of Teichmüller theory. Zbl 0185.32901
Earle, C. J.; Eells, J.
1969
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
1987
Nearly Kähler manifolds. Zbl 0201.54401
Gray, A.
1970
An upper bound to the spectrum of $$\Delta$$ on a manifold of negative curvature. Zbl 0197.18003
McKean, H. P.
1970
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
1987
Lie group valued moment maps. Zbl 0948.53045
Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard
1998
Flow of nonconvex hypersurfaces into spheres. Zbl 0708.53045
Gerhardt, Claus
1990
The theory of quasi-Sasakian structures. Zbl 0163.43903
Blair, D. E.
1967
An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001
Nirenberg, Louis
1972
On the regularity of solutions to a generalization of the Minkowski problem. Zbl 0867.52003
1995
Kaehler structures on toric varieties. Zbl 0813.53042
Guillemin, Victor
1994
Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball. Zbl 1494.53045
Scheuer, Julian; Wang, Guofang; Xia, Chao
2022
Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets. Zbl 1497.32007
Chan, Shan Tai; Mok, Ngaiming
2022
An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds. Zbl 1490.14091
Chang, Huai-Liang; Li, Jun; Li, Wei-Ping; Liu, Chiu-Chu Melissa
2022
Closed geodesics on connected sums and $$3$$-manifolds. Zbl 1494.53048
2022
Complete complex hypersurfaces in the ball come in foliations. Zbl 07555126
Alarcón, Antonio
2022
Cusp excursions of random geodesics in Weil-Petersson type metrics. Zbl 1495.32035
2022
$$SU(2)$$-cyclic surgeries and the pillowcase. Zbl 1498.57008
Sivek, Steven; Zentner, Raphael
2022
Algebraic torus actions on contact manifolds. Zbl 1498.14121
Buczyński, Jarosław; Wiśniewski, Jarosław A.; Weber, Andrzej
2022
Fu-Yau Hessian equations. Zbl 1473.58015
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen
2021
An isoperimetric inequality for Laplace eigenvalues on the sphere. Zbl 1471.53056
Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif
2021
A construction of infinitely many solutions to the Strominger system. Zbl 1456.81334
Fei, Teng; Huang, Zhijie; Picard, Sebastien
2021
Integral geometry of exceptional spheres. Zbl 1464.53096
Solanes, Gil; Wannerer, Thomas
2021
From the Hitchin section to opers through nonabelian Hodge. Zbl 1458.53035
Dumitrescu, Olivia; Fredrickson, Laura; Kydonakis, Georgios; Mazzeo, Rafe; Mulase, Motohico; Neitzke, Andrew
2021
Min-max theory for free boundary minimal hypersurfaces. I: Regularity theory. Zbl 1480.53074
Li, Martin Man-Chun; Zhou, Xin
2021
Weinstock inequality in higher dimensions. Zbl 1468.35038
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2021
A new construction of compact torsion-free $$G_2$$-manifolds by gluing families of Eguchi-Hanson spaces. Zbl 1464.53067
Joyce, Dominic; Karigiannis, Spiro
2021
Symmetric differentials on complex hyperbolic manifolds with cusps. Zbl 1477.32042
2021
Collapsing ancient solutions of mean curvature flow. Zbl 1489.53122
Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
2021
The moduli space of two-convex embedded spheres. Zbl 1480.53104
Buzano, Reto; Haslhofer, Robert; Hershkovits, Or
2021
Geodesic behavior for Finsler metrics of constant positive flag curvature on $$S^2$$. Zbl 1486.53086
Bryant, R. L.; Foulon, P.; Ivanov, S. V.; Matveev, V. S.; Ziller, W.
2021
Nodal intersections and geometric control. Zbl 1458.35289
Toth, John A.; Zelditch, Steve
2021
On collapsing Calabi-Yau fibrations. Zbl 1470.32072
Li, Yang
2021
Existence and limiting behavior of min-max solutions of the Ginzburg-Landau equations on compact manifolds. Zbl 1472.35368
Stern, Daniel
2021
Correspondence theorem between holomorphic discs and tropical discs on $$K3$$ surfaces. Zbl 1468.53072
Lin, Yu-Shen
2021
Allen-Cahn min-max on surfaces. Zbl 1459.35179
Mantoulidis, Christos
2021
The stable converse soul question for positively curved homogeneous spaces. Zbl 1491.53067
González-Álvaro, David; Zibrowius, Marcus
2021
Wandering singularities. Zbl 1489.53125
Colding, Tobias Holck; Minicozzi, William P. II
2021
Smoothings and rational double point adjacencies for cusp singularities. Zbl 1473.14067
Engel, Philip; Friedman, Robert
2021
Adiabatic limits of anti-self-dual connections on collapsed $$K3$$ surfaces. Zbl 1483.14065
Datar, Ved; Jacob, Adam; Zhang, Yuguang
2021
Volume preserving flow by powers of the $$k$$-th mean curvature. Zbl 1458.53092
Andrews, Ben; Wei, Yong
2021
Fukaya’s conjecture on Witten’s twisted $$A_\infty$$ structure. Zbl 1486.53101
Chan, Kaileung; Leung, Naichung Conan; Ma, Ziming Nikolas
2021
Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori. Zbl 1482.35081
Chen, Zhijie; Lin, Chang-Shou
2021
Instantons on multi-Taub-NUT spaces. I: Asymptotic form and index theorem. Zbl 1498.53036
Cherkis, Sergey A.; Larraín-Hubach, Andrés; Stern, Mark
2021
Gauss-Manin connection in disguise: Dwork family. Zbl 1485.14067
Movasati, H.; Nikdelan, Y.
2021
Geodesic nets with three boundary vertices. Zbl 1500.53057
Parsch, Fabian
2021
Characterizing symplectic Grassmannians by varieties of minimal rational tangents. Zbl 1487.14111
Hwang, Jun-Muk; Li, Qifeng
2021
A quantum Leray-Hirsch theorem for banded gerbes. Zbl 1491.14079
Tang, Xiang; Tseng, Hsian-Hua
2021
Projective Anosov representations, convex cocompact actions, and rigidity. Zbl 07467770
Zimmer, Andrew
2021
Isoparametric hypersurfaces with four principal curvatures. IV. Zbl 1455.53081
Chi, Quo-Shin
2020
The $$L_p$$ Minkowski problem for the electrostatic $$\mathfrak{p}$$-capacity. Zbl 1453.31012
Du, Zou; Ge, Xiong
2020
On the entropy of closed hypersurfaces and singular self-shrinkers. Zbl 1434.53098
Zhu, Jonathan J.
2020
An intrinsic hyperboloid approach for Einstein Klein-Gordon equations. Zbl 1444.53043
Wang, Qian
2020
The catenoid estimate and its geometric applications. Zbl 1439.53064
Ketover, Daniel; Marques, Fernando C.; Neves, André
2020
The Kähler-Ricci flow and optimal degenerations. Zbl 1447.53081
2020
The nonexistence of negative weight derivations on positive dimensional isolated singularities: generalized Wahl conjecture. Zbl 1451.13071
Chen, Bingyi; Chen, Hao; Yau, Stephen S.-T.; Zuo, Huaiqing
2020
Variation of complex structures and variation of Lie algebras. II: New Lie algebras arising from singularities. Zbl 1454.14007
Chen, Bingyi; Hussain, Naveed; Yau, Stephen S.-T.; Zuo, Huaiqing
2020
Chern-Ricci flows on noncompact complex manifolds. Zbl 1469.32017
Lee, Man-Chun; Tam, Luen-Fai
2020
Uniqueness of immersed spheres in three-manifolds. Zbl 1468.53050
Gálvez, José A.; Mira, Pablo
2020
Riemann-Hilbert problems for the resolved conifold and non-perturbative partition functions. Zbl 1485.14103
Bridgeland, Tom
2020
Space of Ricci flows. II. Part B: Weak compactness of the flows. Zbl 1479.53103
Chen, Xiuxiong; Wang, Bing
2020
Linear stability of Schwarzschild spacetime: decay of metric coefficients. Zbl 1482.53084
Hung, Pei-Ken; Keller, Jordan; Wang, Mu-Tao
2020
On the global rigidity of sphere packings on $$3$$-dimensional manifolds. Zbl 1446.52019
Xu, Xu
2020
The Weyl problem in warped product spaces. Zbl 1475.53064
Li, Chunhe; Wang, Zhizhang
2020
Hodge-theoretic mirror symmetry for toric stacks. Zbl 1464.14044
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
2020
Floer theory for Lagrangian cobordisms. Zbl 1434.53093
Chantraine, Baptiste; Rizell, Georgios Dimitroglou; Ghiggini, Paolo; Golovko, Roman
2020
Minimal surfaces in the 3-sphere by stacking Clifford tori. Zbl 1434.53066
Wiygul, David
2020
Rational curves on general type hypersurfaces. Zbl 1448.14042
Riedl, Eric; Yang, David
2020
The Ricci flow on the sphere with marked points. Zbl 1431.53104
Phong, D. H.; Song, Jian; Sturm, Jacob; Wang, Xiaowei
2020
Extremal metrics on blowups along submanifolds. Zbl 1430.53077
Seyyedali, Reza; Székelyhidi, Gábor
2020
A priori estimates of Toda systems. I: The Lie algebras of $$\mathbf{A}_n, \mathbf{B}_n, \mathbf{C}_n$$ and $$\mathbf{G}_2$$. Zbl 1432.37086
Lin, Chang-Shou; Yang, Wen; Zhong, Xuexiu
2020
The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point. Zbl 1437.53016
Wilkin, Graeme
2020
Regularity theory for $$2$$-dimensional almost minimal currents. III: Blowup. Zbl 1454.49040
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
2020
Explicit ambient metrics and holonomy. Zbl 1437.53038
Anderson, Ian M.; Leistner, Thomas; Nurowski, Paweł
2020
Strange duality on rational surfaces. Zbl 1436.14023
Yuan, Yao
2020
Minimizing cones associated with isoparametric foliations. Zbl 1441.49035
Tang, Zizhou; Zhang, Yongsheng
2020
Limits of $$\alpha$$-harmonic maps. Zbl 07269227
Lamm, Tobias; Malchiodi, Andrea; Micallef, Mario
2020
Expanding Kähler-Ricci solitons coming out of Kähler cones. Zbl 07210962
Conlon, Ronan J.; Deruelle, Alix
2020
Deligne pairings and families of rank one local systems on algebraic curves. Zbl 1454.58030
Freixas i Montplet, Gerard; Wentworth, Richard A.
2020
Totally geodesic submanifolds of Teichmüller space. Zbl 1450.30065
Wright, Alex
2020
Basmajian-type inequalities for maximal representations. Zbl 1461.53041
Fanoni, Federica; Pozzetti, Maria Beatrice
2020
New proof for the regularity of Monge-Ampère type equations. Zbl 1459.35225
Wang, Xu-Jia; Wu, Yating
2020
Unique asymptotics of ancient convex mean curvature flow solutions. Zbl 1416.53061
Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
2019
Quantitative flatness results and $$BV$$-estimates for stable nonlocal minimal surfaces. Zbl 1420.53014
Cinti, Eleonora; Serra, Joaquim; Valdinoci, Enrico
2019
On short time existence for the planar network flow. Zbl 1451.53121
Ilmanen, Tom; Neves, André; Schulze, Felix
2019
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle. Zbl 1484.32029
Diverio, Simone; Trapani, Stefano
2019
Stability of torsion-free $$\text{G}_2$$ structures along the Laplacian flow. Zbl 07036514
Lotay, Jason D.; Wei, Yong
2019
Plurisubharmonic envelopes and supersolutions. Zbl 1435.32041
Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed
2019
Symplectic embeddings from concave toric domains into convex ones. Zbl 1440.53084
Cristofaro-Gardiner, Dan
2019
Lorentzian Einstein metrics with prescribed conformal infinity. Zbl 1420.53080
Enciso, Alberto; Kamran, Niky
2019
Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature. Zbl 1429.53077
Lu, Siyuan; Miao, Pengzi
2019
Sharp fundamental gap estimate on convex domains of sphere. Zbl 1418.35286
Seto, Shoo; Wang, Lili; Wei, Guofang
2019
Genus bounds for min-max minimal surfaces. Zbl 1468.53057
Ketover, Daniel
2019
Decorated super-Teichmüller space. Zbl 07036515
Penner, R. C.; Zeitlin, Anton M.
2019
Quantitative volume space form rigidity under lower Ricci curvature bound. I. Zbl 1430.53054
Chen, Lina; Rong, Xiaochun; Xu, Shicheng
2019
Rigidity of pairs of rational homogeneous spaces of Picard number 1 and analytic continuation of geometric substructures on uniruled projective manifolds. Zbl 1443.14043
Mok, Ngaiming; Zhang, Yunxin
2019
An integral formula and its applications on sub-static manifolds. Zbl 1433.53059
Li, Junfang; Xia, Chao
2019
Einstein solvmanifolds have maximal symmetry. Zbl 1415.53037
Gordon, Carolyn S.; Jablonski, Michael R.
2019
Vanishing Pohozaev constant and removability of singularities. Zbl 1417.35033
Jost, Jürgen; Zhou, Chunqin; Zhu, Miaomiao
2019
A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators. Zbl 1416.53030
Prandi, Dario; Rizzi, Luca; Seri, Marcello
2019
Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow. Zbl 07104702
Acerbi, E.; Fusco, N.; Julin, V.; Morini, M.
2019
Maximizing Steklov eigenvalues on surfaces. Zbl 1434.53010
Petrides, Romain
2019
Critical points of the classical Eisenstein series of weight two. Zbl 1471.11138
Chen, Zhijie; Lin, Chang-Shou
2019
Min-max embedded geodesic lines in asymptotically conical surfaces. Zbl 1420.53049
Carlotto, Alessandro; De Lellis, Camillo
2019
ALF gravitational instantons and collapsing Ricci-flat metrics on the $$\mathrm{K3}$$ surface. Zbl 1417.53054
Foscolo, Lorenzo
2019
Real submanifolds of maximum complex tangent space at a CR singular point. II. Zbl 1425.32032
Gong, Xianghong; Stolovitch, Laurent
2019
Faltings delta-invariant and semistable degeneration. Zbl 1436.14047
de Jong, Robin
2019
Convex $$\mathbb{RP}^2$$ structures and cubic differentials under neck separation. Zbl 1451.30084
Loftin, John
2019
Real Gromov-Witten theory in all genera and real enumerative geometry: computation. Zbl 1429.53101
Georgieva, Penka; Zinger, Aleksey
2019
Lagrangian cobordism and metric invariants. Zbl 1485.53099
Cornea, Octav; Shelukhin, Egor
2019
Minimal surfaces for Hitchin representations. Zbl 1482.53079
Dai, Song; Li, Qiongling
2019
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### Cited by 19,309 Authors

 73 Biswas, Indranil 71 Yau, Shing-Tung 63 Wei, Juncheng 61 Tian, Gang 57 Jost, Jürgen 56 de Lima, Henrique F. 54 Li, Haizhong 50 Li, Jiayu 49 Chen, Bang-Yen 48 Gilkey, Peter B. 47 Dajczer, Marcos 44 Chen, Xiuxiong 43 Rigoli, Marco 42 Matveev, Vladimir S. 42 Suh, Young Jin 42 Wang, Weidong 41 Vrancken, Luc 40 Loi, Andrea 40 Novaga, Matteo 39 De, Uday Chand 39 Meeks, William Hamilton III 38 Brendle, Simon 38 Fino, Anna 37 Lin, Chang-Shou 37 Liu, Kefeng 37 Tam, Luen-Fai 36 Del Pino, Manuel A. 36 Ho, Pak Tung 36 Li, YanYan 36 Verbitsky, Misha 36 Xu, Hongwei 35 Ma, Li 35 Wu, Jiayong 35 Yano, Kentaro 35 Zelditch, Steve 34 Alarcón, Antonio 34 Boyer, Charles P. 34 Musso, Monica 33 Forstnerič, Franc 33 Hu, Zejun 33 Jiao, Xiaoxiang 33 Leng, Gangsong 33 Lott, John 33 Pandharipande, Rahul 33 Wang, Guofang 33 Wei, Guofang 32 Kruglikov, Boris S. 32 Mazzeo, Rafe R. 31 Lin, Fang Hua 31 Tomassini, Adriano 31 Zhang, Xi 30 Ballico, Edoardo 30 Pérez Jiménez, Juan de Dios 30 Pistoia, Angela 30 Vanhecke, Lieven 30 Zhao, Changjian 29 García-Prada, Oscar 28 Bismut, Jean-Michel 28 Deng, Shaoqiang 28 Deshmukh, Sharief 28 Gover, Ashwin Rod 28 Ivanov, Stefan P. 28 Paternain, Gabriel Pedro 28 Rosenberg, Harold 28 Streets, Jeffrey D. 28 Szabo, Richard J. 28 Wang, Linfeng 28 Xu, Ping 28 Zhu, Xiaohua 27 Alías, Luis J. 27 Bernig, Andreas 27 Cao, Huai-Dong 27 Cheeger, Jeff 27 Dragomir, Sorin 27 Hebey, Emmanuel 27 Mathai, Varghese 27 Ratiu, Tudor Stefan 27 Uhlmann, Gunther Alberto 27 Yang, Paul C. P. 26 Anderson, Michael T. 26 Barros, Manuel 26 Fernández Rodríguez, Marisa 26 Grove, Karsten 26 Katz, Mikhail G. 26 Kim, Inkang 26 Long, Yiming 26 López Camino, Rafael 26 Ma, Xiaonan 26 Marinescu, George 26 Sati, Hisham 26 Shen, Zhongmin 26 Vlachos, Theodoros 26 Wang, Changyou 25 Colding, Tobias Holck 25 Khuri, Marcus A. 25 Nikonorov, Yurii Gennadyevich 25 Schlenker, Jean-Marc 25 Sheng, Weimin 25 Shi, Yuguang 25 Toda, Yukinobu ...and 19,209 more Authors
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### Cited in 779 Journals

 1,142 Transactions of the American Mathematical Society 1,076 Advances in Mathematics 1,001 Proceedings of the American Mathematical Society 965 Journal of Geometry and Physics 940 The Journal of Geometric Analysis 876 Mathematische Annalen 839 Mathematische Zeitschrift 802 Communications in Mathematical Physics 721 Calculus of Variations and Partial Differential Equations 673 Differential Geometry and its Applications 626 Geometriae Dedicata 608 Inventiones Mathematicae 584 Duke Mathematical Journal 575 Journal of Functional Analysis 551 Annals of Global Analysis and Geometry 520 Geometry & Topology 407 Annales de l’Institut Fourier 396 Journal of High Energy Physics 382 Journal of Mathematical Analysis and Applications 380 Algebraic & Geometric Topology 366 Manuscripta Mathematica 361 International Journal of Mathematics 353 Topology and its Applications 328 Journal of Differential Equations 290 Tôhoku Mathematical Journal. Second Series 284 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 261 Geometric and Functional Analysis. GAFA 243 Annali di Matematica Pura ed Applicata. Serie Quarta 233 Comptes Rendus. Mathématique. Académie des Sciences, Paris 231 Compositio Mathematica 222 Journal für die Reine und Angewandte Mathematik 220 Science China. Mathematics 202 Letters in Mathematical Physics 201 Israel Journal of Mathematics 194 Journal of the American Mathematical Society 187 Bulletin of the American Mathematical Society. New Series 177 Communications in Contemporary Mathematics 171 Journal of Algebra 171 Results in Mathematics 170 Acta Mathematica Sinica. English Series 168 Nuclear Physics. B 167 Journal de Mathématiques Pures et Appliquées. Neuvième Série 163 Journal of the European Mathematical Society (JEMS) 159 Archive for Rational Mechanics and Analysis 158 Archiv der Mathematik 155 Journal of Mathematical Physics 148 Journal of Mathematical Sciences (New York) 143 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 142 Kodai Mathematical Journal 141 Journal of Pure and Applied Algebra 137 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 130 Annals of Mathematics. Second Series 127 Annales Henri Poincaré 123 International Journal of Geometric Methods in Modern Physics 122 Journal of Knot Theory and its Ramifications 120 Selecta Mathematica. New Series 120 Discrete and Continuous Dynamical Systems 117 Journal of Topology and Analysis 116 Nagoya Mathematical Journal 116 Journal of Algebraic Geometry 114 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 111 Journal of Geometry 109 Pacific Journal of Mathematics 105 Acta Mathematica 105 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 97 Communications in Partial Differential Equations 93 Osaka Journal of Mathematics 93 Chinese Annals of Mathematics. Series B 92 Transformation Groups 91 Classical and Quantum Gravity 89 Mathematical Notes 89 Bulletin des Sciences Mathématiques 88 Mediterranean Journal of Mathematics 84 Monatshefte für Mathematik 81 Journal of the Mathematical Society of Japan 80 Communications on Pure and Applied Mathematics 80 Rocky Mountain Journal of Mathematics 80 Journal of Soviet Mathematics 79 Publications Mathématiques 79 Mathematische Nachrichten 78 Bulletin of the Brazilian Mathematical Society. New Series 77 Potential Analysis 75 Michigan Mathematical Journal 75 Revista Matemática Iberoamericana 73 General Relativity and Gravitation 73 Proceedings of the Japan Academy. Series A 71 Bulletin de la Société Mathématique de France 71 Bulletin of the American Mathematical Society 71 Kodai Mathematical Seminar Reports 70 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 69 Journal d’Analyse Mathématique 69 Journal of Topology 68 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 67 Journal of Fixed Point Theory and Applications 66 Advances in Applied Mathematics 65 Publications of the Research Institute for Mathematical Sciences, Kyoto University 65 Science in China. Series A 63 Discrete & Computational Geometry 61 Siberian Mathematical Journal 61 Indagationes Mathematicae. New Series ...and 679 more Journals
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### Cited in 63 Fields

 16,306 Differential geometry (53-XX) 6,057 Global analysis, analysis on manifolds (58-XX) 5,116 Partial differential equations (35-XX) 4,590 Manifolds and cell complexes (57-XX) 4,191 Algebraic geometry (14-XX) 3,761 Several complex variables and analytic spaces (32-XX) 1,999 Dynamical systems and ergodic theory (37-XX) 1,772 Quantum theory (81-XX) 1,225 Convex and discrete geometry (52-XX) 1,170 Relativity and gravitational theory (83-XX) 1,167 Calculus of variations and optimal control; optimization (49-XX) 1,123 Topological groups, Lie groups (22-XX) 1,060 Group theory and generalizations (20-XX) 1,002 Functions of a complex variable (30-XX) 964 Algebraic topology (55-XX) 846 Nonassociative rings and algebras (17-XX) 827 Functional analysis (46-XX) 527 Probability theory and stochastic processes (60-XX) 474 Combinatorics (05-XX) 474 Operator theory (47-XX) 470 Mechanics of particles and systems (70-XX) 462 Number theory (11-XX) 415 Ordinary differential equations (34-XX) 407 Numerical analysis (65-XX) 348 $$K$$-theory (19-XX) 323 Geometry (51-XX) 318 Potential theory (31-XX) 318 Fluid mechanics (76-XX) 302 Associative rings and algebras (16-XX) 289 Real functions (26-XX) 280 Category theory; homological algebra (18-XX) 275 Commutative algebra (13-XX) 273 Measure and integration (28-XX) 269 Statistical mechanics, structure of matter (82-XX) 218 Abstract harmonic analysis (43-XX) 218 Computer science (68-XX) 205 Mechanics of deformable solids (74-XX) 193 General topology (54-XX) 143 Harmonic analysis on Euclidean spaces (42-XX) 101 Systems theory; control (93-XX) 101 Information and communication theory, circuits (94-XX) 99 Linear and multilinear algebra; matrix theory (15-XX) 97 Special functions (33-XX) 94 Biology and other natural sciences (92-XX) 86 History and biography (01-XX) 79 Integral transforms, operational calculus (44-XX) 69 Optics, electromagnetic theory (78-XX) 60 General and overarching topics; collections (00-XX) 59 Operations research, mathematical programming (90-XX) 58 Statistics (62-XX) 57 Difference and functional equations (39-XX) 50 Classical thermodynamics, heat transfer (80-XX) 48 Approximations and expansions (41-XX) 44 Mathematical logic and foundations (03-XX) 34 Integral equations (45-XX) 32 Field theory and polynomials (12-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Astronomy and astrophysics (85-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Geophysics (86-XX) 6 Sequences, series, summability (40-XX) 5 General algebraic systems (08-XX) 3 Mathematics education (97-XX)