# zbMATH — the first resource for mathematics

## Leeb, Bernhard

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 Author ID: leeb.bernhard Published as: Leeb, B.; Leeb, Bernhard External Links: MGP · Wikidata · GND
 Documents Indexed: 39 Publications since 1992, including 2 Books
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#### Co-Authors

 7 single-authored 16 Kapovich, Michael 7 Kleiner, Bruce 6 Porti, Joan 4 Biquard, Olivier 4 Millson, John J. 4 Tian, Gang 2 Boileau, Michel Charles 1 Brendle, Simon 1 Chen, Xiuxiong 1 Dey, Subhadip 1 Dinkelbach, Jonathan 1 Goldman, William M. 1 Kumar, Shrawan 1 Ramos-Cuevas, Carlos 1 Scott, G. Peter 1 Seidel, Paul
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#### Serials

 5 Oberwolfach Reports 4 Geometric and Functional Analysis. GAFA 4 Geometry & Topology 3 Inventiones Mathematicae 2 Mathematische Annalen 2 Communications in Analysis and Geometry 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Topology 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Transformation Groups 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Bonner Mathematische Schriften 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 European Journal of Mathematics
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#### Fields

 30 Differential geometry (53-XX) 19 Manifolds and cell complexes (57-XX) 13 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 6 Geometry (51-XX) 5 General and overarching topics; collections (00-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

28 Publications have been cited 503 times in 354 Documents Cited by Year
Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings. Zbl 0910.53035
Kleiner, Bruce; Leeb, Bernhard
1997
Geometrization of 3-dimensional orbifolds. Zbl 1087.57009
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2005
On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds. Zbl 0829.57006
Kapovich, M.; Leeb, B.
1995
A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry. Zbl 1005.53031
Leeb, Bernhard
2000
3-manifold groups and nonpositive curvature. Zbl 0915.57009
Kapovich, M.; Leeb, B.
1998
3-manifolds with(out) metrics of nonpositive curvature. Zbl 0840.53031
Leeb, Bernhard
1995
Quasi-isometries preserve the geometric decomposition of Haken manifolds. Zbl 0866.20033
Kapovich, Michael; Leeb, Bernhard
1997
Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity. Zbl 1167.53044
Kapovich, Michael; Leeb, Bernhard; Millson, John
2009
Equivariant Ricci flow with surgery and applications to finite group actions on geometric 3-manifolds. Zbl 1181.57023
Dinkelbach, Jonathan; Leeb, Bernhard
2009
Quasi-isometries and the de Rham decomposition. Zbl 0954.53027
Kapovich, Michael; Kleiner, Bruce; Leeb, Bernhard
1998
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra. Zbl 1140.22009
Kapovich, Michael; Leeb, Bernhard; Millson, John J.
2008
Dynamics on flag manifolds: domains of proper discontinuity and cocompactness. Zbl 1381.53090
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
Rigidity of invariant convex sets in symmetric spaces. Zbl 1097.53034
Kleiner, Bruce; Leeb, Bernhard
2006
Actions of discrete groups on nonpositively curved spaces. Zbl 0856.20024
Kapovich, Michael; Leeb, Bernhard
1996
A Morse lemma for quasigeodesics in symmetric spaces and Euclidean buildings. Zbl 06997379
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
Complex hyperbolic manifolds homotopy equivalent to a Riemann surface. Zbl 0982.32024
Goldman, William M.; Kapovich, Michael; Leeb, Bernhard
2001
Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings. Zbl 0882.53037
Kleiner, Bruce; Leeb, Bernhard
1997
The center conjecture for spherical buildings of types $$F _{4}$$ and $$E _{6}$$. Zbl 1232.51008
Leeb, Bernhard; Ramos-Cuevas, Carlos
2011
Polygons in buildings and their refined side lengths. Zbl 1205.53037
Kapovich, Michael; Leeb, Bernhard; Millson, John J.
2009
Some recent results on Anosov representations. Zbl 1375.37131
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2016
Groups quasi-isometric to symmetric spaces. Zbl 1035.53073
Kleiner, Bruce; Leeb, Bernhard
2001
Finsler bordifications of symmetric and certain locally symmetric spaces. Zbl 1417.53058
Kapovich, Michael; Leeb, Bernhard
2018
Anosov subgroups: dynamical and geometric characterizations. Zbl 1403.22013
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2017
Uniformization of small 3-orbifolds. Zbl 0976.57017
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2001
A geometric characteristic splitting in all dimensions. Zbl 0979.53037
Leeb, Bernhard; Scott, Peter
2000
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type. Zbl 1044.22009
Kumar, Shrawan; Leeb, Bernhard; Millson, John
2003
Induced quasi-actions: a remark. Zbl 1231.20039
Kleiner, Bruce; Leeb, Bernhard
2009
Geometrization of 3-dimensional manifold and Ricci flow: on Perelman’s proof of the conjectures of Poincaré and Thurston. Zbl 1201.57010
Leeb, Bernhard
2008
Dynamics on flag manifolds: domains of proper discontinuity and cocompactness. Zbl 1381.53090
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
A Morse lemma for quasigeodesics in symmetric spaces and Euclidean buildings. Zbl 06997379
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2018
Finsler bordifications of symmetric and certain locally symmetric spaces. Zbl 1417.53058
Kapovich, Michael; Leeb, Bernhard
2018
Anosov subgroups: dynamical and geometric characterizations. Zbl 1403.22013
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2017
Some recent results on Anosov representations. Zbl 1375.37131
Kapovich, Michael; Leeb, Bernhard; Porti, Joan
2016
The center conjecture for spherical buildings of types $$F _{4}$$ and $$E _{6}$$. Zbl 1232.51008
Leeb, Bernhard; Ramos-Cuevas, Carlos
2011
Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity. Zbl 1167.53044
Kapovich, Michael; Leeb, Bernhard; Millson, John
2009
Equivariant Ricci flow with surgery and applications to finite group actions on geometric 3-manifolds. Zbl 1181.57023
Dinkelbach, Jonathan; Leeb, Bernhard
2009
Polygons in buildings and their refined side lengths. Zbl 1205.53037
Kapovich, Michael; Leeb, Bernhard; Millson, John J.
2009
Induced quasi-actions: a remark. Zbl 1231.20039
Kleiner, Bruce; Leeb, Bernhard
2009
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra. Zbl 1140.22009
Kapovich, Michael; Leeb, Bernhard; Millson, John J.
2008
Geometrization of 3-dimensional manifold and Ricci flow: on Perelman’s proof of the conjectures of Poincaré and Thurston. Zbl 1201.57010
Leeb, Bernhard
2008
Rigidity of invariant convex sets in symmetric spaces. Zbl 1097.53034
Kleiner, Bruce; Leeb, Bernhard
2006
Geometrization of 3-dimensional orbifolds. Zbl 1087.57009
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2005
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type. Zbl 1044.22009
Kumar, Shrawan; Leeb, Bernhard; Millson, John
2003
Complex hyperbolic manifolds homotopy equivalent to a Riemann surface. Zbl 0982.32024
Goldman, William M.; Kapovich, Michael; Leeb, Bernhard
2001
Groups quasi-isometric to symmetric spaces. Zbl 1035.53073
Kleiner, Bruce; Leeb, Bernhard
2001
Uniformization of small 3-orbifolds. Zbl 0976.57017
Boileau, Michel; Leeb, Bernhard; Porti, Joan
2001
A characterization of irreducible symmetric spaces and Euclidean buildings of higher rank by their asymptotic geometry. Zbl 1005.53031
Leeb, Bernhard
2000
A geometric characteristic splitting in all dimensions. Zbl 0979.53037
Leeb, Bernhard; Scott, Peter
2000
3-manifold groups and nonpositive curvature. Zbl 0915.57009
Kapovich, M.; Leeb, B.
1998
Quasi-isometries and the de Rham decomposition. Zbl 0954.53027
Kapovich, Michael; Kleiner, Bruce; Leeb, Bernhard
1998
Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings. Zbl 0910.53035
Kleiner, Bruce; Leeb, Bernhard
1997
Quasi-isometries preserve the geometric decomposition of Haken manifolds. Zbl 0866.20033
Kapovich, Michael; Leeb, Bernhard
1997
Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings. Zbl 0882.53037
Kleiner, Bruce; Leeb, Bernhard
1997
Actions of discrete groups on nonpositively curved spaces. Zbl 0856.20024
Kapovich, Michael; Leeb, Bernhard
1996
On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds. Zbl 0829.57006
Kapovich, M.; Leeb, B.
1995
3-manifolds with(out) metrics of nonpositive curvature. Zbl 0840.53031
Leeb, Bernhard
1995
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#### Cited by 377 Authors

 15 Kapovich, Michael 14 Leeb, Bernhard 13 Kleiner, Bruce 9 Porti, Joan 8 Behrstock, Jason A. 7 Caprace, Pierre-Emmanuel 6 Lytchak, Alexander 6 Sisto, Alessandro 6 Van Maldeghem, Hendrik J. 5 Druţu, Cornelia 5 Huang, Jingyin 4 Belegradek, Igor 4 Belkale, Prakash 4 Collier, Brian 4 Danciger, Jeffrey 4 Eskin, Alex 4 Fisher, David Michael 4 Galaz-Garcia, Fernando 4 Kumar, Shrawan 4 Monod, Nicolas 4 Mooney, Christopher P. 4 Naor, Assaf 4 Neumann, Walter David 4 Nguyen, Hoang Thanh 4 Ramos-Cuevas, Carlos 4 Roushon, Sayed K. 4 Schlenker, Jean-Marc 4 Struyve, Koen 4 Whyte, Kevin 4 Wortman, Kevin A. 4 Xie, Xiangdong 3 Biliotti, Leonardo 3 Bowditch, Brian H. 3 Buyalo, Sergei V. 3 Charney, Ruth M. 3 Fang, Fuquan 3 Hagen, Mark F. 3 Kramer, Linus 3 Lang, Urs 3 Le Donne, Enrico 3 Maillot, Sylvain 3 Mosher, Lee 3 Mühlherr, Bernhard Matthias 3 Parkinson, James 3 Sapir, Mark Valentinovich 3 Swarup, Gadde A. 3 Temmermans, Beukje 3 Walsh, Genevieve S. 3 Weiss, Hartmut 3 Wise, Daniel T. 2 Akiyoshi, Hirotaka 2 Bader, Uri 2 Balser, Andreas 2 Barbot, Thierry 2 Bate, Michael Edward 2 Berenstein, Arkady 2 Bessières, Laurent 2 Besson, Gérard 2 Boileau, Michel Charles 2 Brendle, Simon 2 Button, Jack Oliver 2 Cheeger, Jeff 2 Cornut, Christophe 2 Davis, Michael W. 2 Duchin, Moon 2 Farb, Benson 2 Frigerio, Roberto 2 Furman, Alex 2 García-Prada, Oscar 2 Graczyk, Piotr 2 Groves, Daniel P. 2 Guilbault, Craig R. 2 Haines, Thomas J. 2 Hruska, G. Christopher 2 Kim, Inkang 2 Lange, Christian 2 Lecuire, Cyril 2 Leuzinger, Enrico 2 Martin, Benjamin M. S. 2 Martone, Giuseppe 2 Masur, Howard A. 2 Mecchia, Mattia 2 Mendel, Manor 2 Millson, John J. 2 Mj, Mahan 2 Molnár, Emil 2 Montcouquiol, Grégoire 2 Mozes, Shahar 2 Mundet i Riera, Ignasi 2 Ohshika, Ken’ichi 2 Paoluzzi, Luisa 2 Parreau, Anne 2 Rafi, Kasra 2 Röhrle, Gerhard E. 2 Sageev, Michah 2 Sakuma, Makoto 2 Sauer, Roman 2 Sawyer, Patrice 2 Schröder, Viktor M. H. 2 Schwer, Petra N. ...and 277 more Authors
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#### Cited in 89 Serials

 42 Geometry & Topology 32 Geometriae Dedicata 16 Transactions of the American Mathematical Society 15 Advances in Mathematics 15 Algebraic & Geometric Topology 14 Inventiones Mathematicae 10 Geometric and Functional Analysis. GAFA 9 Duke Mathematical Journal 8 Mathematische Zeitschrift 8 Groups, Geometry, and Dynamics 7 Annales de l’Institut Fourier 7 Topology and its Applications 6 Mathematische Annalen 6 Proceedings of the American Mathematical Society 6 St. Petersburg Mathematical Journal 6 Journal of Topology 5 Michigan Mathematical Journal 5 Journal of the American Mathematical Society 5 International Journal of Algebra and Computation 5 Journal of Knot Theory and its Ramifications 5 Transformation Groups 5 Analysis and Geometry in Metric Spaces 4 Israel Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Commentarii Mathematici Helvetici 4 Journal of Algebra 4 Journal of Geometry 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Topology and Analysis 3 Archiv der Mathematik 3 Pacific Journal of Mathematics 3 Ergodic Theory and Dynamical Systems 3 Differential Geometry and its Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Algebra 2 Communications in Mathematical Physics 2 Journal of Geometry and Physics 2 Compositio Mathematica 2 Journal of Pure and Applied Algebra 2 Memoirs of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 The Journal of Geometric Analysis 2 Annals of Combinatorics 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Innovations in Incidence Geometry 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Annals of Global Analysis and Geometry 1 Discrete & Computational Geometry 1 $$K$$-Theory 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Designs, Codes and Cryptography 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Documenta Mathematica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Advances in Geometry 1 Foundations of Computational Mathematics 1 Analysis and Applications (Singapore) 1 Frontiers of Mathematics in China 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Kyoto Journal of Mathematics 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Combinatorial Algebra
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#### Cited in 33 Fields

 175 Group theory and generalizations (20-XX) 153 Manifolds and cell complexes (57-XX) 127 Differential geometry (53-XX) 56 Topological groups, Lie groups (22-XX) 56 Geometry (51-XX) 27 Functions of a complex variable (30-XX) 26 Algebraic geometry (14-XX) 20 Combinatorics (05-XX) 19 Several complex variables and analytic spaces (32-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Convex and discrete geometry (52-XX) 9 General topology (54-XX) 8 Functional analysis (46-XX) 6 Nonassociative rings and algebras (17-XX) 4 Mathematical logic and foundations (03-XX) 4 $$K$$-theory (19-XX) 4 Abstract harmonic analysis (43-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

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