Edit Profile (opens in new tab) Eberlein, Patrick B. Compute Distance To: Compute 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: 201 Reviews Co-Authors: 10 Co-Authors with 11 Joint Publications 166 Co-Co-Authors all top 5 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. all top 5 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 1 MAA Studies in Mathematics all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 1,040 times in 704 Documents Cited by ▼ Year ▼ Visibility manifolds. Zbl 0264.53026Eberlein, P.; O’Neill, B. 214 1973 Geometry of nonpositively curved manifolds. Zbl 0883.53003Eberlein, Patrick B. 175 1996 Geometry of 2-step nilpotent groups with a left invariant metric. Zbl 0820.53047Eberlein, Patrick 70 1994 When is a geodesic flow of Anosov type, I. Zbl 0285.58008Eberlein, Patrick 65 1973 Geodesic flow in certain manifolds without conjugate points. Zbl 0209.53304Eberlein, P. 58 1972 Geodesic flows on negatively curved manifolds. I. Zbl 0217.47304Eberlein, P. 50 1972 Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047Ballmann, Werner; Brin, Misha; Eberlein, Patrick 48 1985 Geodesic flows on negatively curved manifolds. II. Zbl 0264.53027Eberlein, Patrick 38 1973 Lattices in spaces of nonpositive curvature. Zbl 0401.53015Eberlein, Patrick 37 1980 Geometry of 2-step nilpotent groups with a left invariant metric. II. Zbl 0830.53039Eberlein, Patrick 25 1994 Isometry groups of simply connected manifolds of nonpositive curvature. Zbl 0413.53029Chen, Su-Shing; Eberlein, Patrick 23 1980 Geodesic flows in manifolds of nonpositive curvature. Zbl 1030.53084Eberlein, Patrick 22 2001 Isometry groups of simply connected manifolds of nonpositive curvature. II. Zbl 0511.53048Eberlein, Patrick 21 1982 Fundamental groups of manifolds of nonpositive curvature. Zbl 0701.53070Ballmann, Werner; Eberlein, Patrick 18 1987 Geometry of 2-step nilpotent Lie groups. Zbl 1154.22009Eberlein, Patrick 15 2004 When is a geodesic flow of Anosov type, II. Zbl 0295.58009Eberlein, Patrick 14 1973 Euclidean de Rham factor of a lattice of nonpositive curvature. Zbl 0514.53038Eberlein, Patrick 13 1983 Surfaces of nonpositive curvature. Zbl 0497.53043Eberlein, Patrick 13 1979 Closed orbits of semisimple group actions and the real Hilbert-Mumford function. Zbl 1185.14037Eberlein, Patrick; Jablonski, Michael 12 2009 Left invariant geometry of Lie groups. Zbl 1088.53033Eberlein, Patrick 10 2004 A differential geometric characterization of symmetric spaces of higher rank. Zbl 0722.53041Eberlein, Patrick; Heber, Jens 10 1990 Riemannian submersions and lattices in 2-step nilpotent Lie groups. Zbl 1113.22009Eberlein, Patrick 10 2003 The moduli space of 2-step nilpotent Lie algebras of type \((p,q)\). Zbl 1045.17003Eberlein, Patrick 10 2003 Geodesic rigidity in compact nonpositively curved manifolds. Zbl 0526.53045Eberlein, Patrick 9 1981 Quarter pinched homogeneous spaces of negative curvature. Zbl 0880.53042Eberlein, Patrick; Heber, Jens 9 1996 Rigidity of lattices of non-positive curvature. Zbl 0521.53045Eberlein, P. 7 1983 Structure of manifolds of nonpositive curvature. Zbl 0569.53020Eberlein, Patrick 7 1985 Symmetry diffeomorphism group of a manifold of nonpositive curvature. II. Zbl 0676.53054Eberlein, Patrick 5 1988 Some properties of the fundamental group of a Fuchsian manifold. Zbl 0274.53043Eberlein, Patrick 5 1973 Horocycle flows on certain surfaces without conjugate points. Zbl 0369.58020Eberlein, Patrick 5 1977 A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center. Zbl 0468.57014Eberlein, Patrick 5 1982 Global differential geometry. 2nd ed. Zbl 0683.53001 4 1989 Riemannian 2-step nilmanifolds with prescribed Ricci tensor. Zbl 1158.53026Eberlein, Patrick 4 2008 Conjugacy and rigidity for nonpositively curved manifolds of higher rank. Zbl 0859.53024Croke, Christopher B.; Eberlein, Patrick; Kleiner, Bruce 3 1996 Manifolds of nonpositive curvature. Zbl 0811.53038Eberlein, Patrick; Hamenstädt, Ursula; Schroeder, Viktor 3 1993 Symmetry diffeomorphism group of a manifold of nonpositive curvature. Zbl 0662.53035Eberlein, Patrick 2 1988 The cut locus of noncompact finitely connected surfaces without conjugate points. Zbl 0331.53029Eberlein, Patrick 2 1976 Geodesics and ends in certain surfaces without conjugate points. Zbl 0379.53017Eberlein, Patrick 2 1978 L-subgroups in spaces of nonpositive curvature. Zbl 0597.53038Eberlein, Patrick 1 1986 Closed orbits of semisimple group actions and the real Hilbert-Mumford function. Zbl 1185.14037Eberlein, Patrick; Jablonski, Michael 12 2009 Riemannian 2-step nilmanifolds with prescribed Ricci tensor. Zbl 1158.53026Eberlein, Patrick 4 2008 Geometry of 2-step nilpotent Lie groups. Zbl 1154.22009Eberlein, Patrick 15 2004 Left invariant geometry of Lie groups. Zbl 1088.53033Eberlein, Patrick 10 2004 Riemannian submersions and lattices in 2-step nilpotent Lie groups. Zbl 1113.22009Eberlein, Patrick 10 2003 The moduli space of 2-step nilpotent Lie algebras of type \((p,q)\). Zbl 1045.17003Eberlein, Patrick 10 2003 Geodesic flows in manifolds of nonpositive curvature. Zbl 1030.53084Eberlein, Patrick 22 2001 Geometry of nonpositively curved manifolds. Zbl 0883.53003Eberlein, Patrick B. 175 1996 Quarter pinched homogeneous spaces of negative curvature. Zbl 0880.53042Eberlein, Patrick; Heber, Jens 9 1996 Conjugacy and rigidity for nonpositively curved manifolds of higher rank. Zbl 0859.53024Croke, Christopher B.; Eberlein, Patrick; Kleiner, Bruce 3 1996 Geometry of 2-step nilpotent groups with a left invariant metric. Zbl 0820.53047Eberlein, Patrick 70 1994 Geometry of 2-step nilpotent groups with a left invariant metric. II. Zbl 0830.53039Eberlein, Patrick 25 1994 Manifolds of nonpositive curvature. Zbl 0811.53038Eberlein, Patrick; Hamenstädt, Ursula; Schroeder, Viktor 3 1993 A differential geometric characterization of symmetric spaces of higher rank. Zbl 0722.53041Eberlein, Patrick; Heber, Jens 10 1990 Global differential geometry. 2nd ed. Zbl 0683.53001 4 1989 Symmetry diffeomorphism group of a manifold of nonpositive curvature. II. Zbl 0676.53054Eberlein, Patrick 5 1988 Symmetry diffeomorphism group of a manifold of nonpositive curvature. Zbl 0662.53035Eberlein, Patrick 2 1988 Fundamental groups of manifolds of nonpositive curvature. Zbl 0701.53070Ballmann, Werner; Eberlein, Patrick 18 1987 L-subgroups in spaces of nonpositive curvature. Zbl 0597.53038Eberlein, Patrick 1 1986 Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047Ballmann, Werner; Brin, Misha; Eberlein, Patrick 48 1985 Structure of manifolds of nonpositive curvature. Zbl 0569.53020Eberlein, Patrick 7 1985 Euclidean de Rham factor of a lattice of nonpositive curvature. Zbl 0514.53038Eberlein, Patrick 13 1983 Rigidity of lattices of non-positive curvature. Zbl 0521.53045Eberlein, P. 7 1983 Isometry groups of simply connected manifolds of nonpositive curvature. II. Zbl 0511.53048Eberlein, Patrick 21 1982 A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center. Zbl 0468.57014Eberlein, Patrick 5 1982 Geodesic rigidity in compact nonpositively curved manifolds. Zbl 0526.53045Eberlein, Patrick 9 1981 Lattices in spaces of nonpositive curvature. Zbl 0401.53015Eberlein, Patrick 37 1980 Isometry groups of simply connected manifolds of nonpositive curvature. Zbl 0413.53029Chen, Su-Shing; Eberlein, Patrick 23 1980 Surfaces of nonpositive curvature. Zbl 0497.53043Eberlein, Patrick 13 1979 Geodesics and ends in certain surfaces without conjugate points. Zbl 0379.53017Eberlein, Patrick 2 1978 Horocycle flows on certain surfaces without conjugate points. Zbl 0369.58020Eberlein, Patrick 5 1977 The cut locus of noncompact finitely connected surfaces without conjugate points. Zbl 0331.53029Eberlein, Patrick 2 1976 Visibility manifolds. Zbl 0264.53026Eberlein, P.; O’Neill, B. 214 1973 When is a geodesic flow of Anosov type, I. Zbl 0285.58008Eberlein, Patrick 65 1973 Geodesic flows on negatively curved manifolds. II. Zbl 0264.53027Eberlein, Patrick 38 1973 When is a geodesic flow of Anosov type, II. Zbl 0295.58009Eberlein, Patrick 14 1973 Some properties of the fundamental group of a Fuchsian manifold. Zbl 0274.53043Eberlein, Patrick 5 1973 Geodesic flow in certain manifolds without conjugate points. Zbl 0209.53304Eberlein, P. 58 1972 Geodesic flows on negatively curved manifolds. I. Zbl 0217.47304Eberlein, P. 50 1972 all cited Publications top 5 cited Publications all top 5 Cited by 655 Authors 17 Suh, Young Jin 14 Eberlein, Patrick B. 14 Ruggiero, Rafael Oswaldo 14 Schröder, Viktor M. H. 9 Ballmann, Hans Werner 9 Kim, Inkang 9 Knieper, Gerhard 8 Chen, Su-Shing 8 Holopainen, Ilkka 8 Ledrappier, François 7 Burns, Keith 7 Del Barco, Viviana J. 7 Furutani, Kenro 7 Gornet, Ruth 7 Kapovich, Michael 7 Kim, Sungwoon 7 Markina, Irina 7 Zimmer, Andrew M. 6 Castéras, Jean-baptiste 6 Itoh, Mitsuhiro 6 Kleiner, Bruce 6 Lauret, Jorge 6 Link, Gabriele 6 Moroianu, Andrei 6 Schüth, Dorothee 6 Spatzier, Ralf J. 5 Adachi, Toshiaki 5 Eschenburg, Jost-Hinrich 5 Hattori, Toshiaki 5 Heinonen, Esko 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 Charitos, Charalampos 4 Climenhaga, Vaughn 4 DeCoste, Rachelle C. 4 Domínguez-Vázquez, Miguel 4 Druetta, Maria J. 4 Espinar, José María 4 Farrell, F. Thomas 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 Peigné, Marc 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 Bismut, Jean-Michel 3 Borbély, Albert 3 Cao, Jianguo 3 Chen, Dong 3 Choi, Hyeong In 3 Connell, Chris 3 Coudene, Yves 3 Danielli, Donatella 3 DeMeyer, Lisa 3 Garofalo, Nicola 3 Gelfert, Katrin Grit 3 Gordon, Carolyn S. 3 Guillarmou, Colin 3 Heber, Jens 3 Hurder, Steven E. 3 Kaimanovich, Vadim A. 3 Katok, Anatole 3 Kifer, Yuri 3 Kim, Hyunjung 3 Lafont, Jean-François 3 Lang, Urs 3 Leeb, Bernhard 3 Leuzinger, Enrico 3 Nhieu, Duy-Minh 3 O’Sullivan, John Joseph 3 Papadoperakis, Ioannis 3 Park, Kiho 3 Portilla, Ana 3 Rodríguez García, José Manuel 3 Salimi Moghaddam, Hamid Reza ...and 555 more Authors all top 5 Cited in 154 Serials 39 Transactions of the American Mathematical Society 31 Mathematische Zeitschrift 31 Ergodic Theory and Dynamical Systems 27 Geometriae Dedicata 27 Proceedings of the American Mathematical Society 27 Differential Geometry and its Applications 26 Mathematische Annalen 25 The Journal of Geometric Analysis 19 Inventiones Mathematicae 15 Israel Journal of Mathematics 14 Advances in Mathematics 13 Duke Mathematical Journal 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 Geometry & Topology 8 Algebraic & Geometric Topology 7 Communications in Mathematical Physics 7 Manuscripta Mathematica 7 Tôhoku Mathematical Journal. Second Series 6 Mathematical Notes 6 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Bulletin de la Société Mathématique de France 5 Journal of Algebra 5 Journal of Soviet Mathematics 5 Nagoya Mathematical Journal 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 Compositio Mathematica 4 Memoirs of the American Mathematical Society 4 Michigan 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 4 Journal de l’École Polytechnique – Mathématiques 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Rocky Mountain Journal of Mathematics 3 Acta Mathematica 3 Journal of Pure and Applied Algebra 3 Journal für die Reine und Angewandte Mathematik 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 Communications in Contemporary Mathematics 3 Journal of the Australian Mathematical Society 3 Journal of Topology 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 General Relativity and Gravitation 2 Nonlinearity 2 The Annals of Probability 2 Boletim da Sociedade Brasileira de Matemática 2 Bulletin of the London Mathematical Society 2 Journal of Differential Geometry 2 Journal of the London Mathematical Society. Second Series 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Annales Henri Poincaré 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 2 Analysis and Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique ...and 54 more Serials all top 5 Cited in 48 Fields 493 Differential geometry (53-XX) 166 Dynamical systems and ergodic theory (37-XX) 144 Topological groups, Lie groups (22-XX) 118 Global analysis, analysis on manifolds (58-XX) 85 Manifolds and cell complexes (57-XX) 78 Group theory and generalizations (20-XX) 36 Partial differential equations (35-XX) 32 Several complex variables and analytic spaces (32-XX) 24 Functions of a complex variable (30-XX) 23 Nonassociative rings and algebras (17-XX) 20 Probability theory and stochastic processes (60-XX) 19 Measure and integration (28-XX) 18 Potential theory (31-XX) 16 Geometry (51-XX) 15 Number theory (11-XX) 14 Algebraic geometry (14-XX) 13 Abstract harmonic analysis (43-XX) 9 Combinatorics (05-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 6 General topology (54-XX) 6 Mechanics of particles and systems (70-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Convex and discrete geometry (52-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 5 Relativity and gravitational theory (83-XX) 4 Associative rings and algebras (16-XX) 4 Harmonic analysis on Euclidean spaces (42-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 Fluid mechanics (76-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) Citations by Year