## Eberlein, Patrick B.

Compute Distance To:
 Author ID: eberlein.patrick-b Published as: Eberlein, Patrick; Eberlein, P.; Eberlein, Patrick B. more...less
 Documents Indexed: 46 Publications since 1971, including 3 Books 1 Further Contribution Reviewing Activity: 196 Reviews Co-Authors: 10 Co-Authors with 11 Joint Publications 166 Co-Co-Authors
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### Co-Authors

 35 single-authored 3 Heber, Jens 2 Ballmann, Hans Werner 2 Chen, Su-Shing 1 Brin, Michael 1 Cesari, Lamberto 1 Chern, Shiing-Shen 1 Croke, Christopher B. 1 Hamenstädt, Ursula 1 Jablonski, Michael 1 Kleiner, Bruce 1 Kobayashi, Shoshichi 1 Morse, Marton 1 O’Neill, Barrett 1 Ossermann, Robert 1 Schröder, Viktor M. H.
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### Serials

 6 Transactions of the American Mathematical Society 5 Journal of Differential Geometry 3 Annals of Mathematics. Second Series 2 Memoirs of the American Mathematical Society 1 Linear and Multilinear Algebra 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Boletim da Sociedade Brasileira de Matemática 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Topology 1 Ergodic Theory and Dynamical Systems 1 International Journal of Mathematics 1 Communications in Analysis and Geometry 1 Journal of Mathematical Sciences (New York) 1 Cubo
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### Fields

 42 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Topological groups, Lie groups (22-XX) 4 Manifolds and cell complexes (57-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 989 times in 665 Documents Cited by Year
Visibility manifolds. Zbl 0264.53026
Eberlein, P.; O’Neill, B.
1973
Geometry of nonpositively curved manifolds. Zbl 0883.53003
Eberlein, Patrick B.
1996
Geometry of 2-step nilpotent groups with a left invariant metric. Zbl 0820.53047
Eberlein, Patrick
1994
When is a geodesic flow of Anosov type, I. Zbl 0285.58008
Eberlein, Patrick
1973
Geodesic flow in certain manifolds without conjugate points. Zbl 0209.53304
Eberlein, P.
1972
Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047
Ballmann, Werner; Brin, Misha; Eberlein, Patrick
1985
Geodesic flows on negatively curved manifolds. I. Zbl 0217.47304
Eberlein, P.
1972
Lattices in spaces of nonpositive curvature. Zbl 0401.53015
Eberlein, Patrick
1980
Geodesic flows on negatively curved manifolds. II. Zbl 0264.53027
Eberlein, Patrick
1973
Geometry of 2-step nilpotent groups with a left invariant metric. II. Zbl 0830.53039
Eberlein, Patrick
1994
Isometry groups of simply connected manifolds of nonpositive curvature. Zbl 0413.53029
Chen, Su-Shing; Eberlein, Patrick
1980
Geodesic flows in manifolds of nonpositive curvature. Zbl 1030.53084
Eberlein, Patrick
2001
Isometry groups of simply connected manifolds of nonpositive curvature. II. Zbl 0511.53048
Eberlein, Patrick
1982
Fundamental groups of manifolds of nonpositive curvature. Zbl 0701.53070
Ballmann, Werner; Eberlein, Patrick
1987
Geometry of 2-step nilpotent Lie groups. Zbl 1154.22009
Eberlein, Patrick
2004
Euclidean de Rham factor of a lattice of nonpositive curvature. Zbl 0514.53038
Eberlein, Patrick
1983
When is a geodesic flow of Anosov type, II. Zbl 0295.58009
Eberlein, Patrick
1973
Closed orbits of semisimple group actions and the real Hilbert-Mumford function. Zbl 1185.14037
Eberlein, Patrick; Jablonski, Michael
2009
Surfaces of nonpositive curvature. Zbl 0497.53043
Eberlein, Patrick
1979
Riemannian submersions and lattices in 2-step nilpotent Lie groups. Zbl 1113.22009
Eberlein, Patrick
2003
A differential geometric characterization of symmetric spaces of higher rank. Zbl 0722.53041
Eberlein, Patrick; Heber, Jens
1990
Left invariant geometry of Lie groups. Zbl 1088.53033
Eberlein, Patrick
2004
The moduli space of 2-step nilpotent Lie algebras of type $$(p,q)$$. Zbl 1045.17003
Eberlein, Patrick
2003
Geodesic rigidity in compact nonpositively curved manifolds. Zbl 0526.53045
Eberlein, Patrick
1981
Quarter pinched homogeneous spaces of negative curvature. Zbl 0880.53042
Eberlein, Patrick; Heber, Jens
1996
Rigidity of lattices of non-positive curvature. Zbl 0521.53045
Eberlein, P.
1983
Structure of manifolds of nonpositive curvature. Zbl 0569.53020
Eberlein, Patrick
1985
Symmetry diffeomorphism group of a manifold of nonpositive curvature. II. Zbl 0676.53054
Eberlein, Patrick
1988
Some properties of the fundamental group of a Fuchsian manifold. Zbl 0274.53043
Eberlein, Patrick
1973
Horocycle flows on certain surfaces without conjugate points. Zbl 0369.58020
Eberlein, Patrick
1977
Riemannian 2-step nilmanifolds with prescribed Ricci tensor. Zbl 1158.53026
Eberlein, Patrick
2008
Global differential geometry. 2nd ed. Zbl 0683.53001
1989
A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center. Zbl 0468.57014
Eberlein, Patrick
1982
Conjugacy and rigidity for nonpositively curved manifolds of higher rank. Zbl 0859.53024
Croke, Christopher B.; Eberlein, Patrick; Kleiner, Bruce
1996
Manifolds of nonpositive curvature. Zbl 0811.53038
Eberlein, Patrick; Hamenstädt, Ursula; Schroeder, Viktor
1993
Symmetry diffeomorphism group of a manifold of nonpositive curvature. Zbl 0662.53035
Eberlein, Patrick
1988
Geodesics and ends in certain surfaces without conjugate points. Zbl 0379.53017
Eberlein, Patrick
1978
The cut locus of noncompact finitely connected surfaces without conjugate points. Zbl 0331.53029
Eberlein, Patrick
1976
L-subgroups in spaces of nonpositive curvature. Zbl 0597.53038
Eberlein, Patrick
1986
Closed orbits of semisimple group actions and the real Hilbert-Mumford function. Zbl 1185.14037
Eberlein, Patrick; Jablonski, Michael
2009
Riemannian 2-step nilmanifolds with prescribed Ricci tensor. Zbl 1158.53026
Eberlein, Patrick
2008
Geometry of 2-step nilpotent Lie groups. Zbl 1154.22009
Eberlein, Patrick
2004
Left invariant geometry of Lie groups. Zbl 1088.53033
Eberlein, Patrick
2004
Riemannian submersions and lattices in 2-step nilpotent Lie groups. Zbl 1113.22009
Eberlein, Patrick
2003
The moduli space of 2-step nilpotent Lie algebras of type $$(p,q)$$. Zbl 1045.17003
Eberlein, Patrick
2003
Geodesic flows in manifolds of nonpositive curvature. Zbl 1030.53084
Eberlein, Patrick
2001
Geometry of nonpositively curved manifolds. Zbl 0883.53003
Eberlein, Patrick B.
1996
Quarter pinched homogeneous spaces of negative curvature. Zbl 0880.53042
Eberlein, Patrick; Heber, Jens
1996
Conjugacy and rigidity for nonpositively curved manifolds of higher rank. Zbl 0859.53024
Croke, Christopher B.; Eberlein, Patrick; Kleiner, Bruce
1996
Geometry of 2-step nilpotent groups with a left invariant metric. Zbl 0820.53047
Eberlein, Patrick
1994
Geometry of 2-step nilpotent groups with a left invariant metric. II. Zbl 0830.53039
Eberlein, Patrick
1994
Manifolds of nonpositive curvature. Zbl 0811.53038
Eberlein, Patrick; Hamenstädt, Ursula; Schroeder, Viktor
1993
A differential geometric characterization of symmetric spaces of higher rank. Zbl 0722.53041
Eberlein, Patrick; Heber, Jens
1990
Global differential geometry. 2nd ed. Zbl 0683.53001
1989
Symmetry diffeomorphism group of a manifold of nonpositive curvature. II. Zbl 0676.53054
Eberlein, Patrick
1988
Symmetry diffeomorphism group of a manifold of nonpositive curvature. Zbl 0662.53035
Eberlein, Patrick
1988
Fundamental groups of manifolds of nonpositive curvature. Zbl 0701.53070
Ballmann, Werner; Eberlein, Patrick
1987
L-subgroups in spaces of nonpositive curvature. Zbl 0597.53038
Eberlein, Patrick
1986
Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047
Ballmann, Werner; Brin, Misha; Eberlein, Patrick
1985
Structure of manifolds of nonpositive curvature. Zbl 0569.53020
Eberlein, Patrick
1985
Euclidean de Rham factor of a lattice of nonpositive curvature. Zbl 0514.53038
Eberlein, Patrick
1983
Rigidity of lattices of non-positive curvature. Zbl 0521.53045
Eberlein, P.
1983
Isometry groups of simply connected manifolds of nonpositive curvature. II. Zbl 0511.53048
Eberlein, Patrick
1982
A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center. Zbl 0468.57014
Eberlein, Patrick
1982
Geodesic rigidity in compact nonpositively curved manifolds. Zbl 0526.53045
Eberlein, Patrick
1981
Lattices in spaces of nonpositive curvature. Zbl 0401.53015
Eberlein, Patrick
1980
Isometry groups of simply connected manifolds of nonpositive curvature. Zbl 0413.53029
Chen, Su-Shing; Eberlein, Patrick
1980
Surfaces of nonpositive curvature. Zbl 0497.53043
Eberlein, Patrick
1979
Geodesics and ends in certain surfaces without conjugate points. Zbl 0379.53017
Eberlein, Patrick
1978
Horocycle flows on certain surfaces without conjugate points. Zbl 0369.58020
Eberlein, Patrick
1977
The cut locus of noncompact finitely connected surfaces without conjugate points. Zbl 0331.53029
Eberlein, Patrick
1976
Visibility manifolds. Zbl 0264.53026
Eberlein, P.; O&rsquo;Neill, B.
1973
When is a geodesic flow of Anosov type, I. Zbl 0285.58008
Eberlein, Patrick
1973
Geodesic flows on negatively curved manifolds. II. Zbl 0264.53027
Eberlein, Patrick
1973
When is a geodesic flow of Anosov type, II. Zbl 0295.58009
Eberlein, Patrick
1973
Some properties of the fundamental group of a Fuchsian manifold. Zbl 0274.53043
Eberlein, Patrick
1973
Geodesic flow in certain manifolds without conjugate points. Zbl 0209.53304
Eberlein, P.
1972
Geodesic flows on negatively curved manifolds. I. Zbl 0217.47304
Eberlein, P.
1972
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### Cited by 619 Authors

 16 Suh, Young Jin 14 Eberlein, Patrick B. 14 Ruggiero, Rafael Oswaldo 14 Schröder, Viktor M. H. 9 Kim, Inkang 8 Ballmann, Hans Werner 8 Chen, Su-Shing 8 Holopainen, Ilkka 8 Knieper, Gerhard 7 Burns, Keith 7 Furutani, Kenro 7 Gornet, Ruth 7 Ledrappier, François 7 Markina, Irina 6 Castéras, Jean-baptiste 6 Del Barco, Viviana J. 6 Itoh, Mitsuhiro 6 Kim, Sungwoon 6 Link, Gabriele 6 Schüth, Dorothee 6 Spatzier, Ralf J. 6 Zimmer, Andrew M. 5 Adachi, Toshiaki 5 Eschenburg, Jost-Hinrich 5 Heinonen, Esko 5 Kapovich, Michael 5 Kleiner, Bruce 5 Lauret, Jorge 5 Moroianu, Andrei 5 Ovando, Gabriela P. 5 Peyerimhoff, Norbert 5 Ripoll, Jaime Bruck 5 Satoh, Hiroyasu 5 Schapira, Barbara 5 Uhlmann, Gunther Alberto 5 Wang, Fang 4 Berndt, Jürgen 4 Biliotti, Leonardo 4 Brin, Michael 4 Buyalo, Sergei V. 4 Caprace, Pierre-Emmanuel 4 Domínguez-Vázquez, Miguel 4 Druetta, Maria J. 4 Espinar, José María 4 Farrell, F. Thomas 4 Hattori, Toshiaki 4 Im Hof, Hans-Christoph 4 Innami, Nobuhiro 4 Jablonski, Michael 4 Kramer, Linus 4 Mast, Maura B. 4 Mirzaie, Reza 4 Monod, Nicolas 4 Oh, Hee 4 Payne, Tracy L. 4 Pollicott, Mark 4 Suárez-Serrato, Pablo 4 Tamaru, Hiroshi 4 Thompson, Daniel J. 4 Vasy, András 4 Zimmer, Robert J. 3 Anderson, Michael T. 3 Avramidi, Grigori 3 Azami, Shahroud 3 Bartels, Arthur C. 3 Bauer, Wolfram 3 Borbély, Albert 3 Cao, Jianguo 3 Charitos, Charalampos 3 Choi, Hyeong In 3 Climenhaga, Vaughn 3 Connell, Chris 3 Coudene, Yves 3 Danielli, Donatella 3 DeCoste, Rachelle C. 3 Garofalo, Nicola 3 Gelfert, Katrin Grit 3 Gordon, Carolyn S. 3 Heber, Jens 3 Hurder, Steven E. 3 Kaimanovich, Vadim A. 3 Katok, Anatole 3 Kifer, Yuri 3 Kim, Hyun Jung 3 Lafont, Jean-François 3 Lang, Urs 3 Leeb, Bernhard 3 Leuzinger, Enrico 3 Nhieu, Duy-Minh 3 O’Sullivan, John Joseph 3 Park, Kiho 3 Peigné, Marc 3 Portilla, Ana 3 Rodríguez García, José Manuel 3 Salimi Moghaddam, Hamid Reza 3 Schmidt, Benjamin 3 Sharp, Richard W. 3 Touris, Eva 3 Vasilev, Alexander 3 Wang, Shi ...and 519 more Authors
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### Cited in 145 Serials

 38 Transactions of the American Mathematical Society 31 Mathematische Zeitschrift 29 Ergodic Theory and Dynamical Systems 27 Proceedings of the American Mathematical Society 26 Geometriae Dedicata 26 Mathematische Annalen 26 Differential Geometry and its Applications 23 The Journal of Geometric Analysis 18 Inventiones Mathematicae 14 Israel Journal of Mathematics 13 Duke Mathematical Journal 12 Advances in Mathematics 12 Annales de l’Institut Fourier 12 Annals of Global Analysis and Geometry 11 Discrete and Continuous Dynamical Systems 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Archiv der Mathematik 8 Publications Mathématiques 8 Algebraic & Geometric Topology 7 Communications in Mathematical Physics 7 Manuscripta Mathematica 7 Tohoku Mathematical Journal. Second Series 7 Geometry & Topology 6 Mathematical Notes 6 Journal of Functional Analysis 6 Geometric and Functional Analysis. GAFA 6 Acta Mathematica Sinica. English Series 6 Groups, Geometry, and Dynamics 5 Journal of Geometry and Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal of Algebra 5 Journal of Soviet Mathematics 5 International Journal of Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 5 Transformation Groups 5 Journal of Modern Dynamics 5 Journal of Topology and Analysis 4 Commentarii Mathematici Helvetici 4 Michigan Mathematical Journal 4 Nagoya Mathematical Journal 4 Forum Mathematicum 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Potential Analysis 4 Journal of the European Mathematical Society (JEMS) 4 Advances in Geometry 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Rocky Mountain Journal of Mathematics 3 Acta Mathematica 3 Compositio Mathematica 3 Journal of Pure and Applied Algebra 3 Memoirs of the American Mathematical Society 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Results in Mathematics 3 Advances in Applied Mathematics 3 Bulletin of the Iranian Mathematical Society 3 Journal of the American Mathematical Society 3 Communications in Partial Differential Equations 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Calculus of Variations and Partial Differential Equations 3 Mathematical Physics, Analysis and Geometry 3 Journal of the Australian Mathematical Society 3 Journal of Topology 3 Journal de l’École Polytechnique – Mathématiques 2 Bulletin of the Australian Mathematical Society 2 Nonlinearity 2 The Annals of Probability 2 Boletim da Sociedade Brasileira de Matemática 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Topology and its Applications 2 Bulletin of the Korean Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Mathematical Sciences (New York) 2 Journal of Lie Theory 2 Revista Matemática Complutense 2 Annals of Mathematics. Second Series 2 Journal of Dynamical and Control Systems 2 Communications in Contemporary Mathematics 2 Dynamical Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Mediterranean Journal of Mathematics 2 Bulletin of the American Mathematical Society 2 São Paulo Journal of Mathematical Sciences 1 Communications on Pure and Applied Mathematics 1 General Relativity and Gravitation 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Indiana University Mathematics Journal 1 Journal of Differential Equations ...and 45 more Serials
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### Cited in 47 Fields

 467 Differential geometry (53-XX) 160 Dynamical systems and ergodic theory (37-XX) 136 Topological groups, Lie groups (22-XX) 111 Global analysis, analysis on manifolds (58-XX) 81 Manifolds and cell complexes (57-XX) 70 Group theory and generalizations (20-XX) 33 Partial differential equations (35-XX) 27 Several complex variables and analytic spaces (32-XX) 23 Functions of a complex variable (30-XX) 20 Nonassociative rings and algebras (17-XX) 19 Measure and integration (28-XX) 17 Probability theory and stochastic processes (60-XX) 16 Potential theory (31-XX) 15 Geometry (51-XX) 14 Algebraic geometry (14-XX) 13 Number theory (11-XX) 13 Abstract harmonic analysis (43-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Combinatorics (05-XX) 8 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 6 General topology (54-XX) 6 Mechanics of particles and systems (70-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 4 Relativity and gravitational theory (83-XX) 3 Associative rings and algebras (16-XX) 3 $$K$$-theory (19-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-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 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Information and communication theory, circuits (94-XX)