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Eberlein, Patrick B.

Author ID: eberlein.patrick-b Recent zbMATH articles by "Eberlein, Patrick B."
Published as: Eberlein, Patrick; Eberlein, P.; Eberlein, Patrick B.

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 1,174 times in 805 Documents Cited by Year
Visibility manifolds. Zbl 0264.53026
Eberlein, P.; O’Neill, B.
234
1973
Geometry of nonpositively curved manifolds. Zbl 0883.53003
Eberlein, Patrick B.
216
1996
Geometry of 2-step nilpotent groups with a left invariant metric. Zbl 0820.53047
Eberlein, Patrick
80
1994
When is a geodesic flow of Anosov type, I. Zbl 0285.58008
Eberlein, Patrick
70
1973
Geodesic flow in certain manifolds without conjugate points. Zbl 0209.53304
Eberlein, P.
66
1972
Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047
Ballmann, Werner; Brin, Misha; Eberlein, Patrick
52
1985
Geodesic flows on negatively curved manifolds. I. Zbl 0217.47304
Eberlein, P.
52
1972
Geodesic flows on negatively curved manifolds. II. Zbl 0264.53027
Eberlein, Patrick
41
1973
Lattices in spaces of nonpositive curvature. Zbl 0401.53015
Eberlein, Patrick
39
1980
Geometry of 2-step nilpotent groups with a left invariant metric. II. Zbl 0830.53039
Eberlein, Patrick
28
1994
Isometry groups of simply connected manifolds of nonpositive curvature. Zbl 0413.53029
Chen, Su-Shing; Eberlein, Patrick
25
1980
Geodesic flows in manifolds of nonpositive curvature. Zbl 1030.53084
Eberlein, Patrick
24
2001
Isometry groups of simply connected manifolds of nonpositive curvature. II. Zbl 0511.53048
Eberlein, Patrick
21
1982
Fundamental groups of manifolds of nonpositive curvature. Zbl 0701.53070
Ballmann, Werner; Eberlein, Patrick
19
1987
When is a geodesic flow of Anosov type, II. Zbl 0295.58009
Eberlein, Patrick
19
1973
Geometry of 2-step nilpotent Lie groups. Zbl 1154.22009
Eberlein, Patrick
16
2004
Closed orbits of semisimple group actions and the real Hilbert-Mumford function. Zbl 1185.14037
Eberlein, Patrick; Jablonski, Michael
14
2009
A differential geometric characterization of symmetric spaces of higher rank. Zbl 0722.53041
Eberlein, Patrick; Heber, Jens
14
1990
Euclidean de Rham factor of a lattice of nonpositive curvature. Zbl 0514.53038
Eberlein, Patrick
14
1983
Surfaces of nonpositive curvature. Zbl 0497.53043
Eberlein, Patrick
13
1979
Left invariant geometry of Lie groups. Zbl 1088.53033
Eberlein, Patrick
12
2004
Quarter pinched homogeneous spaces of negative curvature. Zbl 0880.53042
Eberlein, Patrick; Heber, Jens
11
1996
The moduli space of 2-step nilpotent Lie algebras of type \((p,q)\). Zbl 1045.17003
Eberlein, Patrick
11
2003
Riemannian submersions and lattices in 2-step nilpotent Lie groups. Zbl 1113.22009
Eberlein, Patrick
10
2003
Global differential geometry. 2nd ed. Zbl 0683.53001
9
1989
Horocycle flows on certain surfaces without conjugate points. Zbl 0369.58020
Eberlein, Patrick
9
1977
Geodesic rigidity in compact nonpositively curved manifolds. Zbl 0526.53045
Eberlein, Patrick
9
1981
Structure of manifolds of nonpositive curvature. Zbl 0569.53020
Eberlein, Patrick
8
1985
Rigidity of lattices of non-positive curvature. Zbl 0521.53045
Eberlein, P.
7
1983
A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center. Zbl 0468.57014
Eberlein, Patrick
6
1982
Conjugacy and rigidity for nonpositively curved manifolds of higher rank. Zbl 0859.53024
Croke, Christopher B.; Eberlein, Patrick; Kleiner, Bruce
5
1996
Manifolds of nonpositive curvature. Zbl 0811.53038
Eberlein, Patrick; Hamenstädt, Ursula; Schroeder, Viktor
5
1993
Riemannian 2-step nilmanifolds with prescribed Ricci tensor. Zbl 1158.53026
Eberlein, Patrick
5
2008
Symmetry diffeomorphism group of a manifold of nonpositive curvature. II. Zbl 0676.53054
Eberlein, Patrick
5
1988
Some properties of the fundamental group of a Fuchsian manifold. Zbl 0274.53043
Eberlein, Patrick
5
1973
Symmetry diffeomorphism group of a manifold of nonpositive curvature. Zbl 0662.53035
Eberlein, Patrick
3
1988
Geodesics and ends in certain surfaces without conjugate points. Zbl 0379.53017
Eberlein, Patrick
2
1978
The cut locus of noncompact finitely connected surfaces without conjugate points. Zbl 0331.53029
Eberlein, Patrick
2
1976
L-subgroups in spaces of nonpositive curvature. Zbl 0597.53038
Eberlein, Patrick
1
1986
Manifolds of nonpositive curvature. Zbl 0683.53039
Eberlein, Patrick
1
1989
Closed orbits of semisimple group actions and the real Hilbert-Mumford function. Zbl 1185.14037
Eberlein, Patrick; Jablonski, Michael
14
2009
Riemannian 2-step nilmanifolds with prescribed Ricci tensor. Zbl 1158.53026
Eberlein, Patrick
5
2008
Geometry of 2-step nilpotent Lie groups. Zbl 1154.22009
Eberlein, Patrick
16
2004
Left invariant geometry of Lie groups. Zbl 1088.53033
Eberlein, Patrick
12
2004
The moduli space of 2-step nilpotent Lie algebras of type \((p,q)\). Zbl 1045.17003
Eberlein, Patrick
11
2003
Riemannian submersions and lattices in 2-step nilpotent Lie groups. Zbl 1113.22009
Eberlein, Patrick
10
2003
Geodesic flows in manifolds of nonpositive curvature. Zbl 1030.53084
Eberlein, Patrick
24
2001
Geometry of nonpositively curved manifolds. Zbl 0883.53003
Eberlein, Patrick B.
216
1996
Quarter pinched homogeneous spaces of negative curvature. Zbl 0880.53042
Eberlein, Patrick; Heber, Jens
11
1996
Conjugacy and rigidity for nonpositively curved manifolds of higher rank. Zbl 0859.53024
Croke, Christopher B.; Eberlein, Patrick; Kleiner, Bruce
5
1996
Geometry of 2-step nilpotent groups with a left invariant metric. Zbl 0820.53047
Eberlein, Patrick
80
1994
Geometry of 2-step nilpotent groups with a left invariant metric. II. Zbl 0830.53039
Eberlein, Patrick
28
1994
Manifolds of nonpositive curvature. Zbl 0811.53038
Eberlein, Patrick; Hamenstädt, Ursula; Schroeder, Viktor
5
1993
A differential geometric characterization of symmetric spaces of higher rank. Zbl 0722.53041
Eberlein, Patrick; Heber, Jens
14
1990
Global differential geometry. 2nd ed. Zbl 0683.53001
9
1989
Manifolds of nonpositive curvature. Zbl 0683.53039
Eberlein, Patrick
1
1989
Symmetry diffeomorphism group of a manifold of nonpositive curvature. II. Zbl 0676.53054
Eberlein, Patrick
5
1988
Symmetry diffeomorphism group of a manifold of nonpositive curvature. Zbl 0662.53035
Eberlein, Patrick
3
1988
Fundamental groups of manifolds of nonpositive curvature. Zbl 0701.53070
Ballmann, Werner; Eberlein, Patrick
19
1987
L-subgroups in spaces of nonpositive curvature. Zbl 0597.53038
Eberlein, Patrick
1
1986
Structure of manifolds of nonpositive curvature. I. Zbl 0589.53047
Ballmann, Werner; Brin, Misha; Eberlein, Patrick
52
1985
Structure of manifolds of nonpositive curvature. Zbl 0569.53020
Eberlein, Patrick
8
1985
Euclidean de Rham factor of a lattice of nonpositive curvature. Zbl 0514.53038
Eberlein, Patrick
14
1983
Rigidity of lattices of non-positive curvature. Zbl 0521.53045
Eberlein, P.
7
1983
Isometry groups of simply connected manifolds of nonpositive curvature. II. Zbl 0511.53048
Eberlein, Patrick
21
1982
A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center. Zbl 0468.57014
Eberlein, Patrick
6
1982
Geodesic rigidity in compact nonpositively curved manifolds. Zbl 0526.53045
Eberlein, Patrick
9
1981
Lattices in spaces of nonpositive curvature. Zbl 0401.53015
Eberlein, Patrick
39
1980
Isometry groups of simply connected manifolds of nonpositive curvature. Zbl 0413.53029
Chen, Su-Shing; Eberlein, Patrick
25
1980
Surfaces of nonpositive curvature. Zbl 0497.53043
Eberlein, Patrick
13
1979
Geodesics and ends in certain surfaces without conjugate points. Zbl 0379.53017
Eberlein, Patrick
2
1978
Horocycle flows on certain surfaces without conjugate points. Zbl 0369.58020
Eberlein, Patrick
9
1977
The cut locus of noncompact finitely connected surfaces without conjugate points. Zbl 0331.53029
Eberlein, Patrick
2
1976
Visibility manifolds. Zbl 0264.53026
Eberlein, P.; O’Neill, B.
234
1973
When is a geodesic flow of Anosov type, I. Zbl 0285.58008
Eberlein, Patrick
70
1973
Geodesic flows on negatively curved manifolds. II. Zbl 0264.53027
Eberlein, Patrick
41
1973
When is a geodesic flow of Anosov type, II. Zbl 0295.58009
Eberlein, Patrick
19
1973
Some properties of the fundamental group of a Fuchsian manifold. Zbl 0274.53043
Eberlein, Patrick
5
1973
Geodesic flow in certain manifolds without conjugate points. Zbl 0209.53304
Eberlein, P.
66
1972
Geodesic flows on negatively curved manifolds. I. Zbl 0217.47304
Eberlein, P.
52
1972
all top 5

Cited by 745 Authors

24 Suh, Young Jin
17 Ruggiero, Rafael Oswaldo
14 Eberlein, Patrick B.
14 Schröder, Viktor M. H.
10 Ballmann, Hans Werner
10 Kapovich, Michael
10 Zimmer, Andrew M.
9 Burns, Keith
9 Kim, Inkang
9 Knieper, Gerhard
9 Ledrappier, François
8 Chen, Su-Shing
8 Domínguez-Vázquez, Miguel
8 Holopainen, Ilkka
8 Kim, Sungwoon
7 Del Barco, Viviana J.
7 Furutani, Kenro
7 Gornet, Ruth
7 Hattori, Toshiaki
7 Lauret, Jorge
7 Liu, Fei
7 Markina, Irina
7 Ovando, Gabriela P.
7 Woo, Changhwa
6 Adachi, Toshiaki
6 Castéras, Jean-baptiste
6 Itoh, Mitsuhiro
6 Kleiner, Bruce
6 Link, Gabriele
6 Mirzaie, Reza
6 Moroianu, Andrei
6 Schapira, Barbara
6 Schüth, Dorothee
6 Spatzier, Ralf J.
6 Wang, Fang
5 Berndt, Jürgen
5 Díaz-Ramos, José Carlos
5 Eschenburg, Jost-Hinrich
5 Heinonen, Esko
5 Oh, Hee
5 Peyerimhoff, Norbert
5 Ripoll, Jaime Bruck
5 Satoh, Hiroyasu
5 Thompson, Daniel J.
5 Uhlmann, Gunther Alberto
4 Biliotti, Leonardo
4 Brin, Michael
4 Burger, Marc
4 Buyalo, Sergei V.
4 Caprace, Pierre-Emmanuel
4 Charitos, Charalampos
4 Climenhaga, Vaughn
4 Connell, Chris
4 DeCoste, Rachelle C.
4 Druetta, Maria J.
4 Espinar, José María
4 Farrell, F. Thomas
4 Gelfert, Katrin Grit
4 Im Hof, Hans-Christoph
4 Innami, Nobuhiro
4 Jablonski, Michael
4 Kramer, Linus
4 Lee, Hyunjin
4 Leeb, Bernhard
4 Liu, Bingxiao
4 Mast, Maura B.
4 Monod, Nicolas
4 Payne, Tracy L.
4 Peigné, Marc
4 Pollicott, Mark
4 Polymerakis, Panagiotis
4 Salimi Moghaddam, Hamid Reza
4 Shu, Lin
4 Suárez-Serrato, Pablo
4 Tamaru, Hiroshi
4 Vasy, András
4 Wang, Shi
4 Wu, Weisheng
4 Zimmer, Robert J.
3 Anderson, Michael T.
3 Avramidi, Grigori
3 Azami, Shahroud
3 Barbosa Gomes, José
3 Bartels, Arthur C.
3 Bauer, Wolfram
3 Bismut, Jean-Michel
3 Borbély, Albert
3 Canzani, Yaiza
3 Cao, Jianguo
3 Chen, Dong
3 Choi, Hyeong In
3 Coudene, Yves
3 Danielli, Donatella
3 DeMeyer, Lisa
3 Dey, Subhadip
3 Galkowski, Jeffrey
3 Garofalo, Nicola
3 Gordon, Carolyn S.
3 Guillarmou, Colin
3 Heber, Jens
...and 645 more Authors
all top 5

Cited in 173 Serials

39 Transactions of the American Mathematical Society
33 Mathematische Zeitschrift
32 Ergodic Theory and Dynamical Systems
30 The Journal of Geometric Analysis
29 Geometriae Dedicata
27 Mathematische Annalen
27 Proceedings of the American Mathematical Society
27 Differential Geometry and its Applications
20 Inventiones Mathematicae
17 Advances in Mathematics
15 Israel Journal of Mathematics
14 Annales de l’Institut Fourier
14 Annals of Global Analysis and Geometry
13 Duke Mathematical Journal
12 Discrete and Continuous Dynamical Systems
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Geometry & Topology
8 Communications in Mathematical Physics
8 Archiv der Mathematik
8 Commentarii Mathematici Helvetici
8 Publications Mathématiques
8 Mathematische Nachrichten
8 Algebraic & Geometric Topology
8 Journal of Modern Dynamics
7 Journal of Geometry and Physics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Bulletin de la Société Mathématique de France
7 Journal of the London Mathematical Society. Second Series
7 Manuscripta Mathematica
7 Tôhoku Mathematical Journal. Second Series
7 Geometric and Functional Analysis. GAFA
7 Groups, Geometry, and Dynamics
6 Mathematical Notes
6 Journal of Algebra
6 Journal of Functional Analysis
6 Transformation Groups
6 Acta Mathematica Sinica. English Series
6 Journal of Topology and Analysis
5 Compositio Mathematica
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 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal de l’École Polytechnique – Mathématiques
4 Nonlinearity
4 Journal of Differential Geometry
4 Journal of Pure and Applied Algebra
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 Calculus of Variations and Partial Differential Equations
4 Journal of the European Mathematical Society (JEMS)
4 Advances in Geometry
4 Journal of Topology
3 Communications in Algebra
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica
3 Bulletin of the London Mathematical Society
3 Journal für die Reine und Angewandte Mathematik
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the London Mathematical Society. Third Series
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 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 Mathematical Physics, Analysis and Geometry
3 Communications in Contemporary Mathematics
3 Journal of the Australian Mathematical Society
2 Bulletin of the Australian Mathematical Society
2 Communications on Pure and Applied Mathematics
2 General Relativity and Gravitation
2 Journal of Mathematical Analysis and Applications
2 The Annals of Probability
2 Boletim da Sociedade Brasileira de Matemática
2 Indiana University Mathematics Journal
2 Journal of Geometry
2 Journal of the Mathematical Society of Japan
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the Japan Academy. Series A
2 Revista de la Unión Matemática Argentina
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 Lie Theory
2 Revista Matemática Complutense
2 Annals of Mathematics. Second Series
2 Journal of Dynamical and Control Systems
2 Journal of High Energy Physics
...and 73 more Serials
all top 5

Cited in 49 Fields

564 Differential geometry (53-XX)
187 Dynamical systems and ergodic theory (37-XX)
165 Topological groups, Lie groups (22-XX)
133 Global analysis, analysis on manifolds (58-XX)
98 Manifolds and cell complexes (57-XX)
93 Group theory and generalizations (20-XX)
41 Partial differential equations (35-XX)
40 Several complex variables and analytic spaces (32-XX)
32 Nonassociative rings and algebras (17-XX)
29 Functions of a complex variable (30-XX)
23 Geometry (51-XX)
21 Number theory (11-XX)
20 Measure and integration (28-XX)
20 Probability theory and stochastic processes (60-XX)
17 Potential theory (31-XX)
16 Algebraic geometry (14-XX)
14 Abstract harmonic analysis (43-XX)
10 Combinatorics (05-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
8 Ordinary differential equations (34-XX)
8 Functional analysis (46-XX)
8 Relativity and gravitational theory (83-XX)
7 Convex and discrete geometry (52-XX)
7 Mechanics of particles and systems (70-XX)
7 Quantum theory (81-XX)
6 General topology (54-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Associative rings and algebras (16-XX)
5 Statistics (62-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Mathematical logic and foundations (03-XX)
3 \(K\)-theory (19-XX)
3 Algebraic topology (55-XX)
3 Fluid mechanics (76-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Systems theory; control (93-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 Optics, electromagnetic theory (78-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year