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## Grove, Karsten

Compute Distance To:
 Author ID: grove.karsten Published as: Grove, Karsten; Grove, K. Homepage: https://math.nd.edu/people/faculty/karsten-grove/ External Links: MGP · Wikidata · Math-Net.Ru · IdRef
 Documents Indexed: 79 Publications since 1973, including 6 Books Reviewing Activity: 37 Reviews
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#### Co-Authors

 18 single-authored 11 Petersen, Peter V 8 Ziller, Wolfgang 5 Gromoll, Detlef 5 Karcher, Hermann 4 Halperin, Stephen 4 Wilking, Burkhard 3 Fang, Fuquan 3 Ruh, Ernst A. 3 Searle, Catherine 3 Wu, Jyh-Yang 2 Cheeger, Jeff 2 Markvorsen, Steen 2 Pedersen, Gert Kjærgård 2 Rosenberg, Jonathan Micah 2 Shankar, Krishnan 2 Tanaka, Minoru 2 Thorbergsson, Gudlaugur 2 Verdiani, Luigi 2 Wilhelm, Frederick H. jun. 1 Besson, Gérard 1 Bourguignon, Jean-Pierre 1 Chang, Sun-Yung Alice 1 Chen, Xiaoyang 1 Ebin, David G. 1 Gromov, Mikhael Leonidovich 1 Hansen, Vagn Lundsgaard 1 Kazdan, Jerry L. 1 Kim, Changwan 1 Pedersen, Erik Kjær 1 Lafontaine, Jacques 1 LeBrun, Claude R. 1 Madsen, Ib Henning 1 Michelsohn, Marie-Louise 1 Moreno, Adam 1 Pansu, Pierre 1 Petersenj, P. 1 Shiohama, Katsuhiro 1 Simons, James 1 Sullivan, Dennis Parnell 1 Vigué-Poirrier, Micheline 1 Wolfson, Jon Gordon 1 Yang, Paul C. P. 1 Yeager, Joseph
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#### Serials

 9 Journal of Differential Geometry 6 Inventiones Mathematicae 4 Acta Mathematica 4 Annals of Mathematics. Second Series 3 Annals of Global Analysis and Geometry 2 Annales de l’Institut Fourier 2 Journal of Functional Analysis 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Bulletin of the American Mathematical Society 2 Mathematical Sciences Research Institute Publications 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Topology 1 Transactions of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Notices of the American Mathematical Society 1 Communications in Analysis and Geometry 1 St. Petersburg Mathematical Journal 1 The Asian Journal of Mathematics 1 Geometry & Topology 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Contemporary Mathematics 1 Lecture Notes Series. Aarhus University 1 University Lecture Series 1 Surveys in Differential Geometry 1 Journal of Fixed Point Theory and Applications
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#### Fields

 73 Differential geometry (53-XX) 25 Manifolds and cell complexes (57-XX) 12 Global analysis, analysis on manifolds (58-XX) 6 Algebraic topology (55-XX) 5 General and overarching topics; collections (00-XX) 4 Geometry (51-XX) 3 Topological groups, Lie groups (22-XX) 2 History and biography (01-XX) 2 General topology (54-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

66 Publications have been cited 1,136 times in 629 Documents Cited by Year
A generalized sphere theorem. Zbl 0341.53029
Grove, Karsten; Shiohama, Katsuhiro
1977
Curvature and symmetry of Milnor spheres. Zbl 0991.53016
Grove, Karsten; Ziller, Wolfgang
2000
Positively curved manifolds with maximal symmetry-rank. Zbl 0793.53040
Grove, Karsten; Searle, Catherine
1994
Positively curved cohomogeneity one manifolds and 3-Sasakian geometry. Zbl 1145.53023
Grove, Karsten; Wilking, Burkhard; Ziller, Wolfgang
2008
Cohomogeneity one manifolds with positive Ricci curvature. Zbl 1038.53034
Grove, Karsten; Ziller, Wolfgang
2002
Bounding homotopy types by geometry. Zbl 0655.53032
Grove, Karsten; Petersen, Peter V
1988
The low-dimensional metric foliations of Euclidean spheres. Zbl 0683.53030
Gromoll, Detlef; Grove, Karsten
1988
Manifolds near the boundary of existence. Zbl 0729.53045
Grove, Karsten; Petersen, Peter V
1991
Geometric finiteness theorems via controlled topology. Zbl 0747.53033
Grove, Karsten; Petersen, Peter V; Wu, Jyh-Yang
1990
An exotic $${T_{1}\mathbb{S}^4}$$ with positive curvature. Zbl 1230.53032
Grove, Karsten; Verdiani, Luigi; Ziller, Wolfgang
2011
How to conjugate C$$^1$$-close group actions. Zbl 0245.57016
Grove, Karsten; Karcher, Hermann
1973
Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics. Zbl 0277.58004
Grove, Karsten
1973
Critical point theory for distance functions. Zbl 0806.53043
Grove, Karsten
1993
New extremal problems for the Riemannian recognition program via Alexandrov geometry. Zbl 0829.53033
Grove, Karsten; Markvorsen, Steen
1995
Group actions and curvature. Zbl 0271.53044
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
1974
Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems. Zbl 0273.53051
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
1974
Dupin hypersurfaces, group actions and the double mapping cylinder. Zbl 0637.53075
Grove, Karsten; Halperin, Stephen
1987
A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry. Zbl 1317.53062
Grove, Karsten; Wilking, Burkhard
2014
Isometry-invariant geodesics. Zbl 0289.58007
Grove, Karsten
1974
A radius sphere theorem. Zbl 0801.53029
Grove, Karsten; Petersen, Peter
1993
A generalization of Berger’s rigidity theorem for positively curved manifolds. Zbl 0626.53032
Gromoll, Detlef; Grove, Karsten
1987
Differential topological restrictions by curvature and symmetry. Zbl 0929.53017
Grove, Karsten; Searle, Catherine
1997
A pinching theorem for homotopy spheres. Zbl 0717.53025
Grove, Karsten; Petersen, Peter V
1990
Hard and soft packing radius theorems. Zbl 0846.53042
Grove, Karsten; Wilhelm, Frederick
1995
Contributions of rational homotopy theory to global problems in geometry. Zbl 0508.55013
Grove, Karsten; Halperin, Stephen
1982
Diagonalizing matrices over C(X). Zbl 0554.46026
Grove, Karsten; Pedersen, Gert Kjaergård
1984
On metrics on $$S^ 2$$ all of whose geodesics are closed. Zbl 0477.53044
Gromoll, Detlef; Grove, Karsten
1981
The rational homotopy theory of certain path spaces with applications to geodesics. Zbl 0421.58007
Grove, Karsten; Halperin, Stephen; Vigue-Poirrier, Micheline
1978
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres. Zbl 1170.53307
Grove, Karsten; Verdiani, Luigi; Wilking, Burkhard; Ziller, Wolfgang
2006
Erratum: Geometric finiteness theorems via controlled topology. Zbl 0778.53034
Grove, Karsten; Petersen, Peter V; Wu, Jyh-Yang
1991
On the number of invariant closed geodesics. Zbl 0375.58010
Grove, Karsten; Tanaka, Minoru
1978
One-dimensional metric foliations in constant curvature spaces. Zbl 0566.53035
Gromoll, Detlef; Grove, Karsten
1985
Lifting group actions and nonnegative curvature. Zbl 1219.53051
Grove, Karsten; Ziller, Wolfgang
2011
Polar manifolds and actions. Zbl 1266.53039
Grove, Karsten; Ziller, Wolfgang
2012
Developments around positive sectional curvature. Zbl 1179.53001
Grove, Karsten
2009
Metric differential geometry. Zbl 0622.53022
Grove, Karsten
1987
Volume comparison à la Aleksandrov. Zbl 0758.53035
Grove, Karsten; Petersen, Peter V
1992
Metric constraints on exotic spheres via Alexandrov geometry. Zbl 0882.53030
Grove, Karsten; Wilhelm, Frederick
1997
Sub-Stonean spaces and corona sets. Zbl 0539.54029
Grove, Karsten; Pedersen, Gert Kjærgård
1984
Global $$G$$-manifold reductions and resolutions. Zbl 0982.53048
Grove, Karsten; Searle, Catherine
2000
Tits geometry and positive curvature. Zbl 1421.53056
Fang, Fuquan; Grove, Karsten; Thorbergsson, Gudlaugur
2017
Rank two fundamental groups of positively curved manifolds. Zbl 0980.57017
Grove, Karsten; Shankar, Krishnan
2000
Geodesics satisfying general boundary conditions. Zbl 0268.53020
Grove, Karsten
1973
Symmetries of Eschenburg spaces and the Chern problem. Zbl 1116.53023
Grove, Karsten; Shankar, Krishnan; Ziller, Wolfgang
2006
Homotopy types of positively curved manifolds with large volume. Zbl 0662.53034
Grove, Karsten; Petersen, Peter V
1988
On the number of invariant closed geodesics. Zbl 0325.58010
Grove, Karsten; Tanaka, Minoru
1976
Metric and topological measurements of manifolds. Zbl 0749.53024
Grove, Karsten
1991
Curvature, triameter, and beyond. Zbl 0753.53025
Grove, Karsten; Markvorsen, Steen
1992
On pinched manifolds with fundamental group Z$$_2$$. Zbl 0266.53032
Grove, Karsten; Karcher, Hermann
1973
Comparison geometry. Zbl 0871.00023
Grove, Karsten (ed.); Petersen, Peter (ed.)
1997
Elliptic isometries, condition (C) and proper maps. Zbl 0726.53030
Grove, Karsten; Halperin, Stephen
1991
Center of mass and G-local triviality of G-bundles. Zbl 0293.57018
Grove, Karsten
1976
Involution-invariant geodesics. Zbl 0297.58006
Grove, Karsten
1975
Rigidity of positively curved manifolds with large diameter. Zbl 0496.53028
Gromoll, Detlef; Grove, Karsten
1982
Controlled topology in geometry. Zbl 0666.53027
Grove, K.; Petersenj, P.; Wu, J. Y.
1989
Conformal, Riemannian and Lagrangian geometry. The 2000 Barrett lectures. Edited by Alexandre Freire. Zbl 1019.53001
Chang, Sun-Yung A.; Yang, Paul C.; Grove, Karsten; Wolfson, Jon G.
2002
Rigidity theorems for submetries in positive curvature. Zbl 1331.53057
Chen, Xiaoyang; Grove, Karsten
2016
Group actions and curvature. Zbl 0295.53021
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
1975
Positively curved manifolds with low fixed point cohomogeneity. Zbl 1099.53027
Grove, Karsten; Kim, Changwan
2004
Rank three geometry and positive curvature. Zbl 1350.53067
Fang, Fuquan; Grove, Karsten; Thorbergsson, Gudlaugur
2016
A panoramic glimpse of manifolds with sectional curvature bounded from below. Zbl 1380.53002
Grove, K.
2018
Reflection groups in non-negative curvature. Zbl 1347.53032
Fang, Fuquan; Grove, Karsten
2016
Finiteness theorems in Riemannian geometry. Zbl 1066.53070
Grove, Karsten
2003
Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005
Cheeger, Jeffrey (ed.); Grove, Karsten (ed.)
2007
Marcel Berger remembered. Zbl 1377.01033
LeBrun, Claude (ed.); Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten
2017
The even dimensional pinching problem and SU(3)/T. Zbl 0669.53035
Grove, Karsten
1989
A panoramic glimpse of manifolds with sectional curvature bounded from below. Zbl 1380.53002
Grove, K.
2018
Tits geometry and positive curvature. Zbl 1421.53056
Fang, Fuquan; Grove, Karsten; Thorbergsson, Gudlaugur
2017
Marcel Berger remembered. Zbl 1377.01033
LeBrun, Claude; Besson, Gérard; Gromov, Misha; Simons, James; Cheeger, Jeff; Bourguignon, Jean-Pierre; Sullivan, Dennis; Lafontaine, Jacques; Kazdan, Jerry; Michelsohn, Marie-Louise; Pansu, Pierre; Ebin, David; Grove, Karsten
2017
Rigidity theorems for submetries in positive curvature. Zbl 1331.53057
Chen, Xiaoyang; Grove, Karsten
2016
Rank three geometry and positive curvature. Zbl 1350.53067
Fang, Fuquan; Grove, Karsten; Thorbergsson, Gudlaugur
2016
Reflection groups in non-negative curvature. Zbl 1347.53032
Fang, Fuquan; Grove, Karsten
2016
A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry. Zbl 1317.53062
Grove, Karsten; Wilking, Burkhard
2014
Polar manifolds and actions. Zbl 1266.53039
Grove, Karsten; Ziller, Wolfgang
2012
An exotic $${T_{1}\mathbb{S}^4}$$ with positive curvature. Zbl 1230.53032
Grove, Karsten; Verdiani, Luigi; Ziller, Wolfgang
2011
Lifting group actions and nonnegative curvature. Zbl 1219.53051
Grove, Karsten; Ziller, Wolfgang
2011
Developments around positive sectional curvature. Zbl 1179.53001
Grove, Karsten
2009
Positively curved cohomogeneity one manifolds and 3-Sasakian geometry. Zbl 1145.53023
Grove, Karsten; Wilking, Burkhard; Ziller, Wolfgang
2008
Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Zbl 1149.53005
Cheeger, Jeffrey; Grove, Karsten
2007
Non-negative curvature obstructions in cohomogeneity one and the Kervaire spheres. Zbl 1170.53307
Grove, Karsten; Verdiani, Luigi; Wilking, Burkhard; Ziller, Wolfgang
2006
Symmetries of Eschenburg spaces and the Chern problem. Zbl 1116.53023
Grove, Karsten; Shankar, Krishnan; Ziller, Wolfgang
2006
Positively curved manifolds with low fixed point cohomogeneity. Zbl 1099.53027
Grove, Karsten; Kim, Changwan
2004
Finiteness theorems in Riemannian geometry. Zbl 1066.53070
Grove, Karsten
2003
Cohomogeneity one manifolds with positive Ricci curvature. Zbl 1038.53034
Grove, Karsten; Ziller, Wolfgang
2002
Conformal, Riemannian and Lagrangian geometry. The 2000 Barrett lectures. Edited by Alexandre Freire. Zbl 1019.53001
Chang, Sun-Yung A.; Yang, Paul C.; Grove, Karsten; Wolfson, Jon G.
2002
Curvature and symmetry of Milnor spheres. Zbl 0991.53016
Grove, Karsten; Ziller, Wolfgang
2000
Global $$G$$-manifold reductions and resolutions. Zbl 0982.53048
Grove, Karsten; Searle, Catherine
2000
Rank two fundamental groups of positively curved manifolds. Zbl 0980.57017
Grove, Karsten; Shankar, Krishnan
2000
Differential topological restrictions by curvature and symmetry. Zbl 0929.53017
Grove, Karsten; Searle, Catherine
1997
Metric constraints on exotic spheres via Alexandrov geometry. Zbl 0882.53030
Grove, Karsten; Wilhelm, Frederick
1997
Comparison geometry. Zbl 0871.00023
Grove, Karsten; Petersen, Peter
1997
New extremal problems for the Riemannian recognition program via Alexandrov geometry. Zbl 0829.53033
Grove, Karsten; Markvorsen, Steen
1995
Hard and soft packing radius theorems. Zbl 0846.53042
Grove, Karsten; Wilhelm, Frederick
1995
Positively curved manifolds with maximal symmetry-rank. Zbl 0793.53040
Grove, Karsten; Searle, Catherine
1994
Critical point theory for distance functions. Zbl 0806.53043
Grove, Karsten
1993
A radius sphere theorem. Zbl 0801.53029
Grove, Karsten; Petersen, Peter
1993
Volume comparison à la Aleksandrov. Zbl 0758.53035
Grove, Karsten; Petersen, Peter V
1992
Curvature, triameter, and beyond. Zbl 0753.53025
Grove, Karsten; Markvorsen, Steen
1992
Manifolds near the boundary of existence. Zbl 0729.53045
Grove, Karsten; Petersen, Peter V
1991
Erratum: Geometric finiteness theorems via controlled topology. Zbl 0778.53034
Grove, Karsten; Petersen, Peter V; Wu, Jyh-Yang
1991
Metric and topological measurements of manifolds. Zbl 0749.53024
Grove, Karsten
1991
Elliptic isometries, condition (C) and proper maps. Zbl 0726.53030
Grove, Karsten; Halperin, Stephen
1991
Geometric finiteness theorems via controlled topology. Zbl 0747.53033
Grove, Karsten; Petersen, Peter V; Wu, Jyh-Yang
1990
A pinching theorem for homotopy spheres. Zbl 0717.53025
Grove, Karsten; Petersen, Peter V
1990
Controlled topology in geometry. Zbl 0666.53027
Grove, K.; Petersenj, P.; Wu, J. Y.
1989
The even dimensional pinching problem and SU(3)/T. Zbl 0669.53035
Grove, Karsten
1989
Bounding homotopy types by geometry. Zbl 0655.53032
Grove, Karsten; Petersen, Peter V
1988
The low-dimensional metric foliations of Euclidean spheres. Zbl 0683.53030
Gromoll, Detlef; Grove, Karsten
1988
Homotopy types of positively curved manifolds with large volume. Zbl 0662.53034
Grove, Karsten; Petersen, Peter V
1988
Dupin hypersurfaces, group actions and the double mapping cylinder. Zbl 0637.53075
Grove, Karsten; Halperin, Stephen
1987
A generalization of Berger’s rigidity theorem for positively curved manifolds. Zbl 0626.53032
Gromoll, Detlef; Grove, Karsten
1987
Metric differential geometry. Zbl 0622.53022
Grove, Karsten
1987
One-dimensional metric foliations in constant curvature spaces. Zbl 0566.53035
Gromoll, Detlef; Grove, Karsten
1985
Diagonalizing matrices over C(X). Zbl 0554.46026
Grove, Karsten; Pedersen, Gert Kjaergård
1984
Sub-Stonean spaces and corona sets. Zbl 0539.54029
Grove, Karsten; Pedersen, Gert Kjærgård
1984
Contributions of rational homotopy theory to global problems in geometry. Zbl 0508.55013
Grove, Karsten; Halperin, Stephen
1982
Rigidity of positively curved manifolds with large diameter. Zbl 0496.53028
Gromoll, Detlef; Grove, Karsten
1982
On metrics on $$S^ 2$$ all of whose geodesics are closed. Zbl 0477.53044
Gromoll, Detlef; Grove, Karsten
1981
The rational homotopy theory of certain path spaces with applications to geodesics. Zbl 0421.58007
Grove, Karsten; Halperin, Stephen; Vigue-Poirrier, Micheline
1978
On the number of invariant closed geodesics. Zbl 0375.58010
Grove, Karsten; Tanaka, Minoru
1978
A generalized sphere theorem. Zbl 0341.53029
Grove, Karsten; Shiohama, Katsuhiro
1977
On the number of invariant closed geodesics. Zbl 0325.58010
Grove, Karsten; Tanaka, Minoru
1976
Center of mass and G-local triviality of G-bundles. Zbl 0293.57018
Grove, Karsten
1976
Involution-invariant geodesics. Zbl 0297.58006
Grove, Karsten
1975
Group actions and curvature. Zbl 0295.53021
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
1975
Group actions and curvature. Zbl 0271.53044
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
1974
Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems. Zbl 0273.53051
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
1974
Isometry-invariant geodesics. Zbl 0289.58007
Grove, Karsten
1974
How to conjugate C$$^1$$-close group actions. Zbl 0245.57016
Grove, Karsten; Karcher, Hermann
1973
Condition (C) for the energy integral on certain path spaces and applications to the theory of geodesics. Zbl 0277.58004
Grove, Karsten
1973
Geodesics satisfying general boundary conditions. Zbl 0268.53020
Grove, Karsten
1973
On pinched manifolds with fundamental group Z$$_2$$. Zbl 0266.53032
Grove, Karsten; Karcher, Hermann
1973
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#### Cited by 551 Authors

 31 Grove, Karsten 19 Galaz-Garcia, Fernando 14 Rong, Xiaochun 14 Ziller, Wolfgang 13 Searle, Catherine 12 Petersen, Peter V 10 Tanaka, Minoru 10 Wilhelm, Frederick H. jun. 9 Kennard, Lee 9 Walschap, Gerard 9 Wang, Yusheng 8 Amann, Manuel 8 Fang, Fuquan 8 Kondo, Kei-Ichi 8 Radeschi, Marco 8 Yamaguchi, Takao 7 DeVito, Jason 7 Gorodski, Claudio 7 Guijarro, Luis 7 Shtern, Aleksandr Isaakovich 6 Kapovitch, Vitali 6 Karcher, Hermann 6 Kurogi, Tetsunori 6 Vîlcu, Costin 6 Wang, Peihe 6 Wilking, Burkhard 5 Deng, Shaoqiang 5 Escher, Christine M. 5 Greene, Robert Everist 5 Kerin, Martin 5 Kim, Jin Hong 5 Lytchak, Alexander 5 Mazzucchelli, Marco 5 Mendes, Ricardo A. E. 5 Plaut, Conrad P. 5 Püttmann, Thomas 5 Ruh, Ernst A. 5 Shiohama, Katsuhiro 5 Tapp, Kristopher 5 Tuschmann, Wilderich 5 Verdiani, Luigi 5 Vigué-Poirrier, Micheline 5 Wraith, David J. 5 Xu, Hongwei 4 Belegradek, Igor 4 Berestovskiĭ, Valeriĭ Nikolaevich 4 Bettiol, Renato G. 4 Chazal, Frédéric 4 Durán Fernandez, Carlos Eduardo 4 Ge, Jianquan 4 González-Álvaro, David 4 Harvey, John Matthew 4 Lange, Christian 4 Lieutier, André 4 Manuĭlov, Vladimir Markovich 4 Mitsuishi, Ayato 4 Núñez-Zimbrón, Jesús 4 Paternain, Gabriel Pedro 4 Pro, Curtis 4 Schmidt, Benjamin 4 Shen, Zhongmin 4 Shi, Yi 4 Sormani, Christina 4 Wu, Jyh-Yang 4 Xia, Changyu 4 Zhu, Shunhui 3 Ahmadi, Parviz 3 Bechtluft-Sachs, Stefan 3 Candela, Anna Maria 3 Chen, Xiaoyang 3 Cohen-Steiner, David 3 Dessai, Anand Naique 3 Díaz-Ramos, José Carlos 3 Domínguez-Vázquez, Miguel 3 Goertsches, Oliver 3 Gromov, Mikhael Leonidovich 3 Halperin, Stephen 3 Hu, Zhiguang 3 Itoh, Jin-ichi 3 Kashani, Seyed Mohammad Bagher 3 Kollross, Andreas 3 Kramer, Linus 3 Marenich, Valery B. 3 Markvorsen, Steen 3 McGowan, Jill 3 Pedersen, Gert Kjærgård 3 Qian, Chao 3 Salvatore, Addolorata 3 Shioya, Takashi 3 Spindeler, Wolfgang Lorenz 3 Su, Xiaole 3 Sun, Hongwei 3 Torres, Rafael 3 Wen, Yuliang 3 Yeroshkin, Dmytro 3 Yokota, Takumi 3 Zamfirescu, Tudor I. 2 Abedi, Hosein 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Anirudh, Rushil ...and 451 more Authors
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#### Cited in 144 Serials

 36 Proceedings of the American Mathematical Society 35 Differential Geometry and its Applications 34 The Journal of Geometric Analysis 31 Mathematische Zeitschrift 28 Geometriae Dedicata 26 Annals of Global Analysis and Geometry 24 Transactions of the American Mathematical Society 23 Mathematische Annalen 18 Advances in Mathematics 12 Duke Mathematical Journal 12 Geometry & Topology 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Tohoku Mathematical Journal. Second Series 9 Journal of Mathematical Analysis and Applications 9 Archiv der Mathematik 8 Inventiones Mathematicae 8 Geometric and Functional Analysis. GAFA 8 Bulletin of the American Mathematical Society. New Series 8 Frontiers of Mathematics in China 7 Journal of Geometry and Physics 7 Acta Mathematica 7 Topology and its Applications 7 Journal of the American Mathematical Society 6 Compositio Mathematica 6 Journal für die Reine und Angewandte Mathematik 6 Transformation Groups 6 Communications in Contemporary Mathematics 5 Annales de l’Institut Fourier 5 Manuscripta Mathematica 5 Osaka Journal of Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Journal of Mathematical Sciences (New York) 5 Advances in Geometry 4 Communications in Mathematical Physics 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Discrete & Computational Geometry 4 Computational Geometry 4 Algebraic & Geometric Topology 4 International Journal of Geometric Methods in Modern Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of the Mathematical Society of Japan 3 Journal of Pure and Applied Algebra 3 Kodai Mathematical Journal 3 Nagoya Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Siberian Mathematical Journal 3 Acta Mathematica Hungarica 3 Russian Journal of Mathematical Physics 3 Annals of Mathematics. Second Series 3 Foundations of Computational Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Topology and Analysis 3 São Paulo Journal of Mathematical Sciences 3 Science China. Mathematics 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Linear and Multilinear Algebra 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Publications Mathématiques 2 Journal of the London Mathematical Society. Second Series 2 Journal of Multivariate Analysis 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Results in Mathematics 2 Tokyo Journal of Mathematics 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 International Journal of Mathematics 2 Linear Algebra and its Applications 2 Proceedings of the National Academy of Sciences of the United States of America 2 Indagationes Mathematicae. New Series 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Sbornik: Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Milan Journal of Mathematics 2 Bulletin of the American Mathematical Society 2 Kodai Mathematical Seminar Reports 2 Proceedings of the Japan Academy 2 Journal of Fixed Point Theory and Applications 2 European Journal of Mathematics 2 Journal of Applied and Computational Topology 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Nonlinearity 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Anais da Academia Brasileira de Ciências 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Indiana University Mathematics Journal 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics ...and 44 more Serials
all top 5

#### Cited in 50 Fields

 499 Differential geometry (53-XX) 171 Manifolds and cell complexes (57-XX) 87 Global analysis, analysis on manifolds (58-XX) 45 Algebraic topology (55-XX) 31 Topological groups, Lie groups (22-XX) 23 Dynamical systems and ergodic theory (37-XX) 21 Functional analysis (46-XX) 18 Geometry (51-XX) 17 General topology (54-XX) 13 Group theory and generalizations (20-XX) 12 Operator theory (47-XX) 11 Partial differential equations (35-XX) 10 Convex and discrete geometry (52-XX) 10 Statistics (62-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 8 Relativity and gravitational theory (83-XX) 7 Functions of a complex variable (30-XX) 7 Computer science (68-XX) 7 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Mathematical logic and foundations (03-XX) 4 $$K$$-theory (19-XX) 4 Measure and integration (28-XX) 4 Abstract harmonic analysis (43-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Category theory; homological algebra (18-XX) 3 Potential theory (31-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

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