# zbMATH — the first resource for mathematics

## 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/all/euclid.jdghttp://www.intlpress.com/JDG/ Subseries: Surveys in Differential Geometry Comments: Indexed cover-to-cover
 Documents Indexed: 2,439 Publications (since 1967) References Indexed: 55 Publications with 1,620 References.
all top 5

#### Latest Issues

 118, No. 3 (2021) 118, No. 2 (2021) 118, No. 1 (2021) 117, No. 3 (2021) 117, No. 2 (2021) 117, No. 1 (2021) 116, No. 3 (2020) 116, No. 2 (2020) 116, No. 1 (2020) 115, No. 3 (2020) 115, No. 2 (2020) 115, No. 1 (2020) 114, No. 3 (2020) 114, No. 2 (2020) 114, No. 1 (2020) 113, No. 3 (2019) 113, No. 2 (2019) 113, No. 1 (2019) 112, No. 3 (2019) 112, No. 2 (2019) 112, No. 1 (2019) 111, No. 3 (2019) 111, No. 2 (2019) 111, No. 1 (2019) 110, No. 3 (2018) 110, No. 2 (2018) 110, No. 1 (2018) 109, No. 3 (2018) 109, No. 2 (2018) 109, No. 1 (2018) 108, No. 3 (2018) 108, No. 2 (2018) 108, No. 1 (2018) 107, No. 3 (2017) 107, No. 2 (2017) 107, No. 1 (2017) 106, No. 3 (2017) 106, No. 2 (2017) 106, No. 1 (2017) 105, No. 3 (2017) 105, No. 2 (2017) 105, No. 1 (2017) 104, No. 3 (2016) 104, No. 2 (2016) 104, No. 1 (2016) 103, No. 3 (2016) 103, No. 2 (2016) 103, No. 1 (2016) 102, No. 3 (2016) 102, No. 2 (2016) 102, No. 1 (2016) 101, No. 3 (2015) 101, No. 2 (2015) 101, No. 1 (2015) 100, No. 3 (2015) 100, No. 2 (2015) 100, No. 1 (2015) 99, No. 3 (2015) 99, No. 2 (2015) 99, No. 1 (2015) 98, No. 3 (2014) 98, No. 2 (2014) 98, No. 1 (2014) 97, No. 3 (2014) 97, No. 2 (2014) 97, No. 1 (2014) 96, No. 3 (2014) 96, No. 2 (2014) 96, No. 1 (2014) 95, No. 3 (2013) 95, No. 2 (2013) 95, No. 1 (2013) 94, No. 3 (2013) 94, No. 2 (2013) 94, No. 1 (2013) 93, No. 3 (2013) 93, No. 2 (2013) 93, No. 1 (2013) 92, No. 3 (2012) 92, No. 2 (2012) 92, No. 1 (2012) 91, No. 3 (2012) 91, No. 2 (2012) 91, No. 1 (2012) 90, No. 3 (2012) 90, No. 2 (2012) 90, No. 1 (2012) 89, No. 3 (2011) 89, No. 2 (2011) 89, No. 1 (2011) 88, No. 3 (2011) 88, No. 2 (2011) 88, No. 1 (2011) 87, No. 3 (2011) 87, No. 2 (2011) 87, No. 1 (2011) 86, No. 3 (2010) 86, No. 2 (2010) 86, No. 1 (2010) 85, No. 3 (2010) ...and 203 more Volumes
all top 5

#### Authors

 22 Yano, Kentaro 17 Guillemin, Victor W. 17 Meeks, William Hamilton III 15 Yau, Shing-Tung 14 Donaldson, Simon Kirwan 14 Rosenberg, Harold 14 Tam, Luen-Fai 13 Cheeger, Jeff 13 Hamilton, Richard S. 13 Li, Peter 13 White, Brian Cabell 12 Luo, Feng 12 Taubes, Clifford Henry 12 Yau, Stephen Shing-Toung 11 Lutwak, Erwin 10 Leung, Naichung Conan 10 Lin, Chang-Shou 10 Liu, Kefeng 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 Li, Jun 9 Ros, Antonio 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 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 Kapovich, Michael 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 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 Phong, Duong Hong 6 Ran, Ziv 6 Singer, Isadore M. 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 Brooks, Robert Wolfe 5 Bryant, Robert L. 5 Catanese, Fabrizio M. E. 5 Chau, Albert 5 Chen, Binglong 5 Chen, Xiuxiong 5 Colding, Tobias Holck 5 Dajczer, Marcos 5 do Carmo, Manfredo Perdigão 5 Eberlein, Patrick B. 5 Gerhardt, Claus 5 Gieseker, David 5 Goldman, William M. 5 Gompf, Robert E. 5 Gordon, Carolyn S. 5 Gray, Alfred ...and 1,999 more Authors
all top 5

#### Fields

 1,550 Differential geometry (53-XX) 524 Global analysis, analysis on manifolds (58-XX) 457 Manifolds and cell complexes (57-XX) 297 Several complex variables and analytic spaces (32-XX) 269 Algebraic geometry (14-XX) 156 Partial differential equations (35-XX) 130 Dynamical systems and ergodic theory (37-XX) 92 Functions of a complex variable (30-XX) 73 Convex and discrete geometry (52-XX) 73 Algebraic topology (55-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 61 Topological groups, Lie groups (22-XX) 40 Quantum theory (81-XX) 37 Nonassociative rings and algebras (17-XX) 28 Number theory (11-XX) 22 Group theory and generalizations (20-XX) 21 Relativity and gravitational theory (83-XX) 17 Geometry (51-XX) 14 Potential theory (31-XX) 13 General topology (54-XX) 12 Ordinary differential equations (34-XX) 12 Functional analysis (46-XX) 11 Measure and integration (28-XX) 9 Operator theory (47-XX) 8 $$K$$-theory (19-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 Fluid mechanics (76-XX) 2 Special functions (33-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 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

2,251 Publications have been cited 50,554 times in 29,223 Documents Cited by Year
Three-manifolds with positive Ricci curvature. Zbl 0504.53034
Hamilton, Richard S.
1982
Conformal deformation of a Riemannian metric to constant scalar curvature. Zbl 0576.53028
Schoen, Richard
1984
Problèmes isoperimetriques et espaces de Sobolev. Zbl 0371.46011
Aubin, Thierry
1976
The topology of four-dimensional manifolds. Zbl 0528.57011
Freedman, Michael Hartley
1982
Flow by mean curvature of convex surfaces into spheres. Zbl 0556.53001
Huisken, Gerhard
1984
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
The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem. Zbl 0788.52007
Lutwak, Erwin
1993
The heat equation shrinking convex plane curves. Zbl 0621.53001
Gage, M.; Hamilton, R. S.
1986
The local structure of Poisson manifolds. Zbl 0524.58011
Weinstein, Alan
1983
Variétés kähleriennes dont la première classe de Chern est nulle. Zbl 0537.53056
Beauville, Arnaud
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
A regularity theory for harmonic maps. Zbl 0521.58021
Schoen, Richard; Uhlenbeck, Karen
1982
Asymptotic behavior for singularities of the mean curvature flow. Zbl 0694.53005
Huisken, Gerhard
1990
Filling Riemannian manifolds. Zbl 0515.53037
Gromov, Mikhael
1983
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations. Zbl 0696.35087
Chen, Yun-Gang; Giga, Yoshikazu; Goto, Shun’ichi
1991
Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301
McKean, H. P. jun.; Singer, I. M.
1967
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
Comparison geometry for the Bakry-Emery Ricci tensor. Zbl 1189.53036
Wei, Guofang; Wylie, Will
2009
On the structure of spaces with Ricci curvature bounded below. I. Zbl 0902.53034
Cheeger, Jeff; Colding, Tobias H.
1997
Pseudo-hermitian structures on a real hypersurface. Zbl 0379.53016
Webster, S. M.
1978
The inverse mean curvature flow and the Riemannian Penrose inequality. Zbl 1055.53052
Huisken, Gerhard; Ilmanen, Tom
2001
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
2002
Four-manifolds with positive curvature operator. Zbl 0628.53042
Hamilton, Richard S.
1986
Boundary regularity and the Dirichlet problem for harmonic maps. Zbl 0547.58020
Schoen, Richard; Uhlenbeck, Karen
1983
The splitting theorem for manifolds of nonnegative Ricci curvature. Zbl 0223.53033
Cheeger, Jeff; Gromoll, Detlef
1971
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
1983
Manin triples for Lie bialgebroids. Zbl 0885.58030
Liu, Zhangju; Weinstein, Alan; Xu, Ping
1997
Morse theory for Lagrangian intersections. Zbl 0674.57027
Floer, Andreas
1988
A simple geometrical construction of deformation quantization. Zbl 0812.53034
Fedosov, Boris V.
1994
A note on curvature and fundamental group. Zbl 0162.25401
Milnor, John W.
1968
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
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
2001
Minimal submanifolds of low cohomogeneity. Zbl 0219.53045
Hsiang, Wu-Yi; Lawson, H. Blaine jun.
1971
The conjectures on conformal transformations of Riemannian manifolds. Zbl 0236.53042
Obata, Morio
1971
On a set of polarized Kähler metrics on algebraic manifolds. Zbl 0706.53036
Tian, Gang
1990
Les variétés de Poisson et leurs algèbres de Lie associees. Zbl 0405.53024
Lichnerowicz, Andre
1977
General $$L_{p}$$ affine isoperimetric inequalities. Zbl 1185.52005
Haberl, Christoph; Schuster, Franz E.
2009
Sub-Riemannian geometry. Zbl 0609.53021
Strichartz, Robert S.
1986
Deforming the metric on complete Riemannian manifolds. Zbl 0676.53044
Shi, Wan-Xiong
1989
The construction of ALE spaces as hyper-Kähler quotients. Zbl 0671.53045
Kronheimer, P. B.
1989
Sharp affine $$L_ p$$ Sobolev inequalities. Zbl 1073.46027
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2002
Poisson Lie groups, dressing transformations, and Bruhat decompositions. Zbl 0673.58018
Lu, Jiang-Hua; Weinstein, Alan
1990
Spectral geometry of singular Riemannian spaces. Zbl 0529.58034
Cheeger, Jeff
1983
Growth of finitely generated solvable groups and curvature of Riemannian manifolds. Zbl 0207.51803
Wolf, J. A.
1968
The Yamabe problem on CR manifolds. Zbl 0661.32026
Jerison, David; Lee, John M
1987
Foliations and the topology of 3-manifolds. III. Zbl 0639.57008
Gabai, David
1987
Flat G-bundles with canonical metrics. Zbl 0676.58007
Corlette, Kevin
1988
Zermelo navigation on Riemannian manifolds. Zbl 1078.53073
Bao, David; Robles, Colleen; Shen, Zhongmin
2004
Boundary behavior of $$\bar \partial$$ on weakly pseudo-convex manifolds of dimension two. Zbl 0256.35060
Kohn, J. J.
1972
Uniqueness, symmetry, and embeddedness of minimal surfaces. Zbl 0575.53037
Schoen, Richard
1983
Blaschke-Santaló inequalities. Zbl 0906.52003
Lutwak, Erwin; Zhang, Gaoyong
1997
Structure theorems on Riemannian spaces satisfying R(X,Y).R=0. I: The local version. Zbl 0508.53025
Szabo, Z. I.
1982
Minimal immersions of surfaces in Euclidean spheres. Zbl 0171.20504
Calabi, Eugenio
1967
A duality theorem for Willmore surfaces. Zbl 0555.53002
Bryant, Robert L.
1984
Variational properties of functions of the mean curvatures for hypersurfaces in space forms. Zbl 0277.53030
Reilly, Robert C.
1973
The total squared curvature of closed curves. Zbl 0554.53013
Langer, Joel; Singer, David A.
1984
Harmonic maps into Lie groups (classical solutions of the chiral model). Zbl 0677.58020
Uhlenbeck, Karen
1989
A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on $$K3$$ fibrations. Zbl 1034.14015
Thomas, R. P.
2000
Scalar curvature and conformal deformation of Riemannian structure. Zbl 0296.53037
Kazdan, Jerry L.; Warner, Frank W.
1975
The affine Sobolev inequality. Zbl 1040.53089
Zhang, Gaoyong
1999
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
Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature. Zbl 0784.53035
Ilmanen, Tom
1993
A differential complex for Poisson manifolds. Zbl 0634.58029
Brylinski, Jean-Luc
1988
Proof of the Riemannian Penrose inequality using the positive mass theorem. Zbl 1039.53034
Bray, Hubert L.
2001
On Carnot-Caratheodory metrics. Zbl 0554.53023
Mitchell, John
1985
Uniformly elliptic operators on Riemannian manifolds. Zbl 0735.58032
Saloff-Coste, Laurent
1992
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
On the structure of spaces with Ricci curvature bounded below. III. Zbl 1027.53043
Cheeger, Jeff; Colding, Tobias H.
2000
Orlicz centroid bodies. Zbl 1206.49050
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2010
The Harnack estimate for the Ricci flow. Zbl 0804.53023
Hamilton, Richard S.
1993
A mathematical theory of quantum cohomology. Zbl 0860.58005
Ruan, Yongbin; Tian, Gang
1995
The normalized curve shortening flow and homothetic solutions. Zbl 0592.53002
Abresch, Uwe; Langer, J.
1986
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
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
1987
Geometric quantization of Chern-Simons gauge theory. Zbl 0697.53061
Axelrod, Scott; Della Pietra, Steve; Witten, Edward
1991
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
On complete gradient shrinking Ricci solitons. Zbl 1246.53051
Cao, Huai-Dong; Zhou, Detang
2010
A fibre bundle description of Teichmüller theory. Zbl 0185.32901
Earle, C. J.; Eells, J.
1969
A combination theorem for negatively curved groups. Zbl 0724.57029
Bestvina, M.; Feighn, M.
1992
Lie group valued moment maps. Zbl 0948.53045
Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard
1998
A degeneration formula of GW-invariants. Zbl 1063.14069
Li, Jun
2002
Nearly Kähler manifolds. Zbl 0201.54401
Gray, A.
1970
The convergence of circle packings to the Riemann mapping. Zbl 0694.30006
Rodin, Burt; Sullivan, Dennis
1987
The space of Kähler metrics. Zbl 1041.58003
Chen, Xiuxiong
2000
The Yamabe problem on manifolds with boundary. Zbl 0771.53017
Escobar, José F.
1992
An abstract form of the nonlinear Cauchy-Kowalewski theorem. Zbl 0257.35001
Nirenberg, Louis
1972
Quadratic functions in geometry, topology, and $$M$$-theory. Zbl 1116.58018
Hopkins, M. J.; Singer, I. M.
2005
On the structure of spaces with Ricci curvature bounded below. II. Zbl 1027.53042
Cheeger, Jeff; Colding, Tobias H.
2000
An upper bound to the spectrum of $$\Delta$$ on a manifold of negative curvature. Zbl 0197.18003
McKean, H. P.
1970
Foliations and the topology of 3-manifolds. Zbl 0533.57013
Gabai, David
1983
Some decompositions of the space of symmetric tensors on a Riemannian manifolds. Zbl 0194.53103
Berger, M.; Ebin, D.
1969
Collapsing Riemannian manifolds while keeping their curvature bounded. I. Zbl 0606.53028
Cheeger, Jeff; Gromov, Mikhael
1986
A note on a theorem of Nirenberg. Zbl 0368.35007
Nishida, Takaaki
1977
Quaternion Kählerian manifolds. Zbl 0297.53014
Ishihara, Shigeru
1974
The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Zbl 1303.52002
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang
2014
A construction of infinitely many solutions to the Strominger system. Zbl 1456.81334
Fei, Teng; Huang, Zhijie; Picard, Sebastien
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
Correspondence theorem between holomorphic discs and tropical discs on $$K3$$ surfaces. Zbl 07297239
Lin, Yu-Shen
2021
Nodal intersections and geometric control. Zbl 1458.35289
Toth, John A.; Zelditch, Steve
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
Weinstock inequality in higher dimensions. Zbl 07367822
Bucur, Dorin; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
2021
Fu-Yau Hessian equations. Zbl 07367825
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen
2021
Existence and limiting behavior of min-max solutions of the Ginzburg-Landau equations on compact manifolds. Zbl 07367830
Stern, Daniel
2021
On the entropy of closed hypersurfaces and singular self-shrinkers. Zbl 1434.53098
Zhu, Jonathan J.
2020
Isoparametric hypersurfaces with four principal curvatures. IV. Zbl 1455.53081
Chi, Quo-Shin
2020
The catenoid estimate and its geometric applications. Zbl 1439.53064
Ketover, Daniel; Marques, Fernando C.; Neves, André
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
An intrinsic hyperboloid approach for Einstein Klein-Gordon equations. Zbl 1444.53043
Wang, Qian
2020
Uniqueness of immersed spheres in three-manifolds. Zbl 07282207
Gálvez, José A.; Mira, Pablo
2020
The $$L_p$$ Minkowski problem for the electrostatic $$\mathfrak{p}$$-capacity. Zbl 1453.31012
Du, Zou; Ge, Xiong
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
The Kähler-Ricci flow and optimal degenerations. Zbl 1447.53081
Dervan, Ruadhaí; 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
Space of Ricci flows. II. Part B: Weak compactness of the flows. Zbl 07246681
Chen, Xiuxiong; Wang, Bing
2020
The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point. Zbl 1437.53016
Wilkin, Graeme
2020
Riemann-Hilbert problems for the resolved conifold and non-perturbative partition functions. Zbl 07225027
Bridgeland, Tom
2020
Hodge-theoretic mirror symmetry for toric stacks. Zbl 1464.14044
Coates, Tom; Corti, Alessio; Iritani, Hiroshi; Tseng, Hsian-Hua
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
Explicit ambient metrics and holonomy. Zbl 1437.53038
Anderson, Ian M.; Leistner, Thomas; Nurowski, Paweł
2020
The Weyl problem in warped product spaces. Zbl 07163292
Li, Chunhe; Wang, Zhizhang
2020
Regularity theory for $$2$$-dimensional almost minimal currents. III: Blowup. Zbl 1454.49040
De Lellis, Camillo; Spadaro, Emanuele; Spolaor, Luca
2020
Rational curves on general type hypersurfaces. Zbl 1448.14042
Riedl, Eric; Yang, David
2020
On the global rigidity of sphere packings on $$3$$-dimensional manifolds. Zbl 1446.52019
Xu, Xu
2020
Linear stability of Schwarzschild spacetime: decay of metric coefficients. Zbl 07282208
Hung, Pei-Ken; Keller, Jordan; Wang, Mu-Tao
2020
Deligne pairings and families of rank one local systems on algebraic curves. Zbl 1454.58030
Freixas i Montplet, Gerard; Wentworth, Richard A.
2020
Strange duality on rational surfaces. Zbl 1436.14023
Yuan, Yao
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
Quantitative flatness results and $$BV$$-estimates for stable nonlocal minimal surfaces. Zbl 1420.53014
Cinti, Eleonora; Serra, Joaquim; Valdinoci, Enrico
2019
Stability of torsion-free $$\text{G}_2$$ structures along the Laplacian flow. Zbl 07036514
Lotay, Jason D.; Wei, Yong
2019
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle. Zbl 07015571
Diverio, Simone; Trapani, Stefano
2019
Lorentzian Einstein metrics with prescribed conformal infinity. Zbl 1420.53080
Enciso, Alberto; Kamran, Niky
2019
Unique asymptotics of ancient convex mean curvature flow solutions. Zbl 1416.53061
Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
2019
Plurisubharmonic envelopes and supersolutions. Zbl 1435.32041
Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed
2019
Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature. Zbl 1429.53077
Lu, Siyuan; Miao, Pengzi
2019
On short time existence for the planar network flow. Zbl 1451.53121
Ilmanen, Tom; Neves, André; Schulze, Felix
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
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
Critical points of the classical Eisenstein series of weight two. Zbl 07122207
Chen, Zhijie; Lin, Chang-Shou
2019
Genus bounds for min-max minimal surfaces. Zbl 07088294
Ketover, Daniel
2019
Sharp fundamental gap estimate on convex domains of sphere. Zbl 1418.35286
Seto, Shoo; Wang, Lili; Wei, Guofang
2019
Einstein solvmanifolds have maximal symmetry. Zbl 1415.53037
Gordon, Carolyn S.; Jablonski, Michael R.
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
Convex $$\mathbb{RP}^2$$ structures and cubic differentials under neck separation. Zbl 1451.30084
Loftin, John
2019
Minimal surfaces for Hitchin representations. Zbl 07054919
Dai, Song; Li, Qiongling
2019
ALF gravitational instantons and collapsing Ricci-flat metrics on the $$\mathrm{K3}$$ surface. Zbl 1417.53054
Foscolo, Lorenzo
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
Stable blowup for the supercritical Yang-Mills heat flow. Zbl 1428.58012
Donninger, Roland; Schörkhuber, Birgit
2019
Real Gromov-Witten theory in all genera and real enumerative geometry: computation. Zbl 1429.53101
Georgieva, Penka; Zinger, Aleksey
2019
Symplectic embeddings from concave toric domains into convex ones. Zbl 1440.53084
Cristofaro-Gardiner, Dan
2019
Vanishing Pohozaev constant and removability of singularities. Zbl 1417.35033
Jost, Jürgen; Zhou, Chunqin; Zhu, Miaomiao
2019
Null mean curvature flow and outermost MOTS. Zbl 07015569
Bourni, Theodora; Moore, Kristen
2019
Faltings delta-invariant and semistable degeneration. Zbl 1436.14047
de Jong, Robin
2019
Lagrangian cobordism and metric invariants. Zbl 07054918
Cornea, Octav; Shelukhin, Egor
2019
Maximizing Steklov eigenvalues on surfaces. Zbl 1434.53010
Petrides, Romain
2019
An integral formula and its applications on sub-static manifolds. Zbl 1433.53059
Li, Junfang; Xia, Chao
2019
Min-max embedded geodesic lines in asymptotically conical surfaces. Zbl 1420.53049
Carlotto, Alessandro; De Lellis, Camillo
2019
$$n$$-dimension central affine curve flows. Zbl 1441.53078
Terng, Chuu-Lian; Wu, Zhiwei
2019
Immersing quasi-Fuchsian surfaces of odd Euler characteristic in closed hyperbolic $$3$$-manifolds. Zbl 1419.57031
Liu, Yi
2019
Kohn-Rossi cohomology and nonexistence of CR morphisms between compact strongly pseudoconvex CR manifolds. Zbl 1417.32037
Yau, Stephen S.-T.; Zuo, Huaiqing
2019
Real submanifolds of maximum complex tangent space at a CR singular point. II. Zbl 1425.32032
Gong, Xianghong; Stolovitch, Laurent
2019
Fully non-linear elliptic equations on compact Hermitian manifolds. Zbl 1409.53062
Székelyhidi, Gábor
2018
Subspace concentration of dual curvature measures of symmetric convex bodies. Zbl 1397.52005
Böröczky, Károly J.; Henk, Martin; Pollehn, Hannes
2018
Existence of solutions to the even dual Minkowski problem. Zbl 1406.52017
Zhao, Yiming
2018
The $$C^0$$-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry. Zbl 1401.53058
Sbierski, Jan
2018
Nonlocal $$s$$-minimal surfaces and Lawson cones. Zbl 1394.53012
Dávila, Juan; del Pino, Manuel; Wei, Juncheng
2018
The $$L_p$$-Aleksandrov problem for $$L_p$$-integral curvature. Zbl 1404.35139
Huang, Yong; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2018
Min-max for phase transitions and the existence of embedded minimal hypersurfaces. Zbl 1387.49060
Guaraco, Marco A. M.
2018
A discrete uniformization theorem for polyhedral surfaces. Zbl 1396.30008
Gu, Xianfeng David; Luo, Feng; Sun, Jian; Wu, Tianqi
2018
Comparing the Morse index and the first Betti number of minimal hypersurfaces. Zbl 1385.53051
Ambrozio, Lucas; Carlotto, Alessandro; Sharp, Ben
2018
Green function, Painlevé VI equation, and Eisenstein series of weight one. Zbl 1390.34242
Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou; Wang, Chin-Lung
2018
Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. Zbl 1394.58016
Blair, Matthew D.; Sogge, Christopher D.
2018
A discrete uniformization theorem for polyhedral surfaces. II. Zbl 1401.30048
Gu, Xianfeng; Guo, Ren; Luo, Feng; Sun, Jian; Wu, Tianqi
2018
Entropy of closed surfaces and min-max theory. Zbl 1396.53004
Ketover, Daniel; Zhou, Xin
2018
K-semistability for irregular Sasakian manifolds. Zbl 1403.53039
Collins, Tristan C.; Székelyhidi, Gábor
2018
An optimal $$L^2$$ extension theorem on weakly pseudoconvex Kähler manifolds. Zbl 1426.53082
Zhou, Xiangyu; Zhu, Langfeng
2018
Teichmüller harmonic map flow into nonpositively curved targets. Zbl 1432.53140
Rupflin, Melanie; Topping, Peter M.
2018
On the microlocal analysis of the geodesic X-ray transform with conjugate points. Zbl 1387.53100
Holman, Sean; Uhlmann, Gunther
2018
Inverse problems for the connection Laplacian. Zbl 1415.53024
Kurylev, Yaroslav; Oksanen, Lauri; Paternain, Gabriel P.
2018
Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed. Zbl 1387.53105
Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey
2018
The floating body in real space forms. Zbl 1410.52007
Besau, Florian; Werner, Elisabeth M.
2018
Naturality of Heegaard Floer invariants under positive rational contact surgery. Zbl 1401.53067
Mark, Thomas E.; Tosun, Bülent
2018
Exotic hyperbolic gluings. Zbl 1385.53062
Chruściel, Piotr T.; Delay, Erwann
2018
Embeddedness of least area minimal hypersurfaces. Zbl 1412.53085
Song, Antoine
2018
Navigating the space of symmetric CMC surfaces. Zbl 1403.53051
Heller, Lynn; Heller, Sebastian; Schmitt, Nicholas
2018
Heat flows on hyperbolic spaces. Zbl 1401.53030
Lemm, Marius; Markovic, Vladimir
2018
Rigidity of equality of Lyapunov exponents for geodesic flows. Zbl 1391.37032
Butler, Clark
2018
On realization of tangent cones of homologically area-minimizing compact singular submanifolds. Zbl 1394.53059
Zhang, Yongsheng
2018
Asymptotics for the wave equation on differential forms on Kerr-de Sitter space. Zbl 1401.53057
Hintz, Peter; Vasy, András
2018
The local picture theorem on the scale of topology. Zbl 1396.53088
Meeks, William H.; Pérez, Joaquín; Ros, Antonio
2018
Resolution of the canonical fiber metrics for a Lefschetz fibration. Zbl 1404.30047
Melrose, Richard; Zhu, Xuwen
2018
Mean curvature flows in manifolds of special holonomy. Zbl 1385.53061
Tsai, Chung-Jun; Wang, Mu-Tao
2018
...and 1773 more Documents
all top 5

#### Cited by 17,520 Authors

 68 Yau, Shing-Tung 66 Biswas, Indranil 57 Wei, Juncheng 53 Tian, Gang 52 Jost, Jürgen 48 Li, Haizhong 47 Li, Jiayu 46 Gilkey, Peter B. 44 Chen, Bang-Yen 43 Dajczer, Marcos 43 de Lima, Henrique F. 41 Chen, Xiuxiong 41 Rigoli, Marco 40 Loi, Andrea 38 Suh, Young Jin 38 Vrancken, Luc 37 Lin, Chang-Shou 37 Matveev, Vladimir S. 36 Del Pino, Manuel A. 36 Li, YanYan 36 Liu, Kefeng 36 Meeks, William Hamilton III 35 Brendle, Simon 35 Yano, Kentaro 34 Ma, Li 34 Novaga, Matteo 34 Verbitsky, Misha 33 Boyer, Charles P. 33 Zelditch, Steve 32 Alarcón, Antonio 32 Leng, Gangsong 32 Tam, Luen-Fai 32 Wang, Weidong 31 Lott, John 31 Mazzeo, Rafe R. 31 Musso, Monica 31 Pandharipande, Rahul 31 Wang, Guofang 31 Xu, Hongwei 30 De, Uday Chand 30 Ho, Pak Tung 30 Tomassini, Adriano 30 Vanhecke, Lieven 30 Zhang, Xi 29 Fino, Anna 29 García-Prada, Oscar 29 Kruglikov, Boris S. 29 Lin, Fang Hua 29 Wu, Jiayong 28 Forstnerič, Franc 28 Jiao, Xiaoxiang 28 Pérez Jiménez, Juan de Dios 28 Xu, Ping 27 Alías, Luis J. 27 Ballico, Edoardo 27 Bismut, Jean-Michel 27 Cheeger, Jeff 27 Dragomir, Sorin 27 Hu, Zejun 27 Ivanov, Stefan P. 27 Ratiu, Tudor Stefan 27 Uhlmann, Gunther Alberto 27 Wang, Linfeng 27 Yang, Paul C. P. 27 Zhao, Changjian 26 Barros, Manuel 26 Deng, Shaoqiang 26 Grove, Karsten 26 Long, Yiming 26 Pistoia, Angela 26 Rosenberg, Harold 25 Anderson, Michael T. 25 Cao, Huai-Dong 25 Fernández Rodríguez, Marisa 25 Gover, Ashwin Rod 25 Streets, Jeffrey D. 25 Wei, Guofang 24 Baouendi, Mohammed Salah 24 Bernig, Andreas 24 Hebey, Emmanuel 24 Khuri, Marcus A. 24 Ma, Xiaonan 24 Marinescu, George 24 Paternain, Gabriel Pedro 24 Schlenker, Jean-Marc 24 Shi, Yuguang 24 Szabo, Richard J. 24 Wang, Changyou 24 Zayed, Elsayed M. E. 24 Zhou, Jiazu 24 Zinger, Aleksey 23 Barbosa, Ezequiel R. 23 Chang, Sun-Yung Alice 23 Colding, Tobias Holck 23 Katz, Mikhail G. 23 Laterveer, Robert 23 Lawson, Herbert Blaine jun. 23 Lopez Fernandez, Francisco Jose 23 Mathai, Varghese 23 Sati, Hisham ...and 17,420 more Authors
all top 5

#### Cited in 708 Journals

 1,085 Transactions of the American Mathematical Society 970 Advances in Mathematics 952 Proceedings of the American Mathematical Society 910 Journal of Geometry and Physics 832 Mathematische Annalen 798 The Journal of Geometric Analysis 764 Communications in Mathematical Physics 747 Mathematische Zeitschrift 635 Differential Geometry and its Applications 633 Calculus of Variations and Partial Differential Equations 582 Inventiones Mathematicae 578 Geometriae Dedicata 562 Duke Mathematical Journal 530 Journal of Functional Analysis 509 Annals of Global Analysis and Geometry 452 Geometry & Topology 381 Annales de l’Institut Fourier 352 Journal of Mathematical Analysis and Applications 343 Manuscripta Mathematica 340 Topology and its Applications 337 Journal of High Energy Physics 330 International Journal of Mathematics 327 Algebraic & Geometric Topology 306 Journal of Differential Equations 280 Tohoku Mathematical Journal. Second Series 254 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 242 Geometric and Functional Analysis. GAFA 229 Comptes Rendus. Mathématique. Académie des Sciences, Paris 225 Annali di Matematica Pura ed Applicata. Serie Quarta 218 Compositio Mathematica 193 Science China. Mathematics 190 Israel Journal of Mathematics 187 Letters in Mathematical Physics 183 Journal of the American Mathematical Society 181 Bulletin of the American Mathematical Society. New Series 171 Journal für die Reine und Angewandte Mathematik 156 Journal of Algebra 154 Nuclear Physics. B 153 Communications in Contemporary Mathematics 152 Acta Mathematica Sinica. English Series 150 Archiv der Mathematik 149 Journal de Mathématiques Pures et Appliquées. Neuvième Série 147 Archive for Rational Mechanics and Analysis 147 Journal of Mathematical Physics 146 Journal of the European Mathematical Society (JEMS) 144 Results in Mathematics 144 Journal of Mathematical Sciences (New York) 138 Kodai Mathematical Journal 138 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 132 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 129 Journal of Pure and Applied Algebra 123 International Journal of Geometric Methods in Modern Physics 119 Annals of Mathematics. Second Series 117 Journal of Knot Theory and its Ramifications 115 Annales Henri Poincaré 110 Nagoya Mathematical Journal 108 Journal of Algebraic Geometry 105 Acta Mathematica 104 Selecta Mathematica. New Series 103 Journal of Geometry 103 Discrete and Continuous Dynamical Systems 101 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 96 Journal of Topology and Analysis 89 Osaka Journal of Mathematics 88 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 86 Transformation Groups 83 Chinese Annals of Mathematics. Series B 83 Communications in Partial Differential Equations 82 Monatshefte für Mathematik 80 Communications on Pure and Applied Mathematics 80 Journal of Soviet Mathematics 79 Mathematical Notes 79 Mathematische Nachrichten 78 Bulletin des Sciences Mathématiques 78 Mediterranean Journal of Mathematics 77 Rocky Mountain Journal of Mathematics 76 Journal of the Mathematical Society of Japan 75 Publications Mathématiques 73 Michigan Mathematical Journal 73 Proceedings of the Japan Academy. Series A 71 Potential Analysis 71 Bulletin of the American Mathematical Society 71 Kodai Mathematical Seminar Reports 70 Bulletin of the Brazilian Mathematical Society. New Series 69 Journal of Topology 68 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 66 Journal d’Analyse Mathématique 65 Science in China. Series A 62 Revista Matemática Iberoamericana 61 General Relativity and Gravitation 61 Siberian Mathematical Journal 60 Advances in Applied Mathematics 59 Publications of the Research Institute for Mathematical Sciences, Kyoto University 58 Pacific Journal of Mathematics 58 Indagationes Mathematicae. New Series 57 Czechoslovak Mathematical Journal 57 Discrete & Computational Geometry 56 Bulletin de la Société Mathématique de France 56 Frontiers of Mathematics in China 54 Complex Manifolds ...and 608 more Journals
all top 5

#### Cited in 63 Fields

 14,495 Differential geometry (53-XX) 5,524 Global analysis, analysis on manifolds (58-XX) 4,413 Partial differential equations (35-XX) 4,180 Manifolds and cell complexes (57-XX) 3,673 Algebraic geometry (14-XX) 3,330 Several complex variables and analytic spaces (32-XX) 1,821 Dynamical systems and ergodic theory (37-XX) 1,565 Quantum theory (81-XX) 1,037 Convex and discrete geometry (52-XX) 1,031 Topological groups, Lie groups (22-XX) 1,031 Calculus of variations and optimal control; optimization (49-XX) 1,011 Relativity and gravitational theory (83-XX) 947 Group theory and generalizations (20-XX) 880 Functions of a complex variable (30-XX) 870 Algebraic topology (55-XX) 774 Nonassociative rings and algebras (17-XX) 755 Functional analysis (46-XX) 462 Probability theory and stochastic processes (60-XX) 439 Operator theory (47-XX) 426 Mechanics of particles and systems (70-XX) 409 Number theory (11-XX) 404 Combinatorics (05-XX) 387 Ordinary differential equations (34-XX) 351 Numerical analysis (65-XX) 309 $$K$$-theory (19-XX) 284 Fluid mechanics (76-XX) 277 Associative rings and algebras (16-XX) 276 Geometry (51-XX) 273 Potential theory (31-XX) 252 Category theory; homological algebra (18-XX) 248 Measure and integration (28-XX) 246 Statistical mechanics, structure of matter (82-XX) 242 Commutative algebra (13-XX) 242 Real functions (26-XX) 199 Abstract harmonic analysis (43-XX) 193 Computer science (68-XX) 185 Mechanics of deformable solids (74-XX) 173 General topology (54-XX) 128 Harmonic analysis on Euclidean spaces (42-XX) 93 Linear and multilinear algebra; matrix theory (15-XX) 93 Systems theory; control (93-XX) 90 Information and communication theory, circuits (94-XX) 84 Special functions (33-XX) 84 Biology and other natural sciences (92-XX) 76 Integral transforms, operational calculus (44-XX) 74 History and biography (01-XX) 61 Optics, electromagnetic theory (78-XX) 55 General and overarching topics; collections (00-XX) 50 Operations research, mathematical programming (90-XX) 48 Difference and functional equations (39-XX) 45 Classical thermodynamics, heat transfer (80-XX) 44 Statistics (62-XX) 40 Approximations and expansions (41-XX) 39 Mathematical logic and foundations (03-XX) 35 Integral equations (45-XX) 32 Field theory and polynomials (12-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Astronomy and astrophysics (85-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 11 Geophysics (86-XX) 5 Sequences, series, summability (40-XX) 4 General algebraic systems (08-XX) 3 Mathematics education (97-XX)