Patrick Eberlein

2.7k total citations
40 papers, 1.6k citations indexed

About

Patrick Eberlein is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Patrick Eberlein has authored 40 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Applied Mathematics, 27 papers in Geometry and Topology and 15 papers in Mathematical Physics. Recurrent topics in Patrick Eberlein's work include Geometric Analysis and Curvature Flows (29 papers), Geometry and complex manifolds (20 papers) and Geometric and Algebraic Topology (11 papers). Patrick Eberlein is often cited by papers focused on Geometric Analysis and Curvature Flows (29 papers), Geometry and complex manifolds (20 papers) and Geometric and Algebraic Topology (11 papers). Patrick Eberlein collaborates with scholars based in United States and Germany. Patrick Eberlein's co-authors include Barrett O’Neill, Werner Ballmann, Robert Osserman, A. Katok, Michael Brin, Keith Burns, Su‐Shing Chen, Christopher B. Croke and Bruce Kleiner and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Patrick Eberlein

39 papers receiving 1.2k citations

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Patrick Eberlein	1.1k	1.1k	836	243	146	40	1.6k
Reese Harvey	996 0.9×	1.2k 1.0×	386 0.5×	249 1.0×	124 0.8×	38	1.5k
Werner Ballmann	1.1k 1.0×	893 0.8×	805 1.0×	213 0.9×	77 0.5×	48	1.5k
Yum-Tong Siu	2.1k 1.9×	1.6k 1.5×	829 1.0×	179 0.7×	81 0.6×	92	2.5k
K. Kodaira	1.4k 1.3×	627 0.6×	695 0.8×	105 0.4×	117 0.8×	25	1.7k
J.-H. Eschenburg	856 0.8×	987 0.9×	303 0.4×	422 1.7×	49 0.3×	51	1.3k
Ernst Heintze	583 0.5×	687 0.6×	352 0.4×	240 1.0×	43 0.3×	27	908
Viktor Schroeder	838 0.7×	655 0.6×	468 0.6×	135 0.6×	28 0.2×	70	1.0k
Tadashi Nagano	561 0.5×	565 0.5×	339 0.4×	262 1.1×	51 0.3×	54	919
Bruce Kleiner	1.1k 1.0×	805 0.7×	733 0.9×	109 0.4×	42 0.3×	62	1.4k
Dirk Ferus	749 0.7×	850 0.8×	172 0.2×	307 1.3×	115 0.8×	29	1.0k

Countries citing papers authored by Patrick Eberlein

Since Specialization

Citations

This map shows the geographic impact of Patrick Eberlein's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Patrick Eberlein with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Patrick Eberlein more than expected).

Fields of papers citing papers by Patrick Eberlein

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Patrick Eberlein. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Patrick Eberlein. The network helps show where Patrick Eberlein may publish in the future.

Co-authorship network of co-authors of Patrick Eberlein

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Eberlein. A scholar is included among the top collaborators of Patrick Eberlein based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Patrick Eberlein. Patrick Eberlein is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Eberlein, Patrick. (2004). Left invariant geometry of Lie groups. 6(1). 427–510–427–510. 9 indexed citations

Eberlein, Patrick, et al.. (1996). QUARTER PINCHED HOMOGENEOUS SPACES OF NEGATIVE CURVATURE. International Journal of Mathematics. 7(4). 441–500. 23 indexed citations

Eberlein, Patrick. (1994). Geometry of 2-step nilpotent groups with a left invariant metric. II. Transactions of the American Mathematical Society. 343(2). 805–828. 27 indexed citations

Eberlein, Patrick. (1994). Geometry of 2-Step Nilpotent Groups with a Left Invariant Metric. II. Transactions of the American Mathematical Society. 343(2). 805–805. 8 indexed citations

Eberlein, Patrick. (1994). Geometry of $2$-step nilpotent groups with a left invariant metric. Annales Scientifiques de l École Normale Supérieure. 27(5). 611–660. 94 indexed citations

Eberlein, Patrick. (1988). Symmetry diffeomorphism group of a manifold of nonpositive curvature. Transactions of the American Mathematical Society. 309(1). 355–374. 14 indexed citations

Eberlein, Patrick. (1988). Symmetry Diffeomorphism Group of a Manifold of Nonpositive Curvature. Transactions of the American Mathematical Society. 309(1). 355–355. 1 indexed citations

Eberlein, Patrick. (1988). . Indiana University Mathematics Journal. 37(4). 735–735. 4 indexed citations

Chen, Su‐Shing & Patrick Eberlein. (1982). Isometry classes of lattices of nonpositive curvature and uniformly bounded volume. Bulletin of the Brazilian Mathematical Society New Series. 13(1). 25–44. 1 indexed citations

10.

Eberlein, Patrick. (1982). A canonical form for compact nonpositively curved manifolds whose fundamental groups have nontrivial center. Mathematische Annalen. 260(1). 23–29. 21 indexed citations

11.

Eberlein, Patrick. (1981). Geodesic rigidity in compact nonpositively curved manifolds. Transactions of the American Mathematical Society. 268(2). 411–443. 11 indexed citations

12.

Eberlein, Patrick. (1981). Geodesic Rigidity in Compact Nonpositively Curved Manifolds. Transactions of the American Mathematical Society. 268(2). 411–411. 5 indexed citations

13.

Eberlein, Patrick. (1979). Surfaces of nonpositive curvature. Memoirs of the American Mathematical Society. 20(218). 0–0. 20 indexed citations

14.

Eberlein, Patrick. (1978). Geodesics and ends in certain surfaces without conjugate points. Memoirs of the American Mathematical Society. 13(199). 0–0. 6 indexed citations

15.

Eberlein, Patrick. (1977). Horocycle flows on certain surfaces without conjugate points. Transactions of the American Mathematical Society. 233(0). 1–36. 7 indexed citations

16.

Eberlein, Patrick. (1977). Horocycle Flows on Certain Surfaces Without Conjugate Points. Transactions of the American Mathematical Society. 233. 1–1. 3 indexed citations

17.

Eberlein, Patrick. (1976). The cut locus of noncompact finitely connected surfaces without conjugate points. Commentarii Mathematici Helvetici. 51(1). 23–41. 4 indexed citations

18.

Eberlein, Patrick. (1973). Geodesic flows on negatively curved manifolds. II. Transactions of the American Mathematical Society. 178(0). 57–82. 46 indexed citations

19.

Eberlein, Patrick. (1972). Geodesic Flow in Certain Manifolds Without Conjugate Points. Transactions of the American Mathematical Society. 167. 151–151. 22 indexed citations

20.

Eberlein, Patrick. (1972). Geodesic flow in certain manifolds without conjugate points. Transactions of the American Mathematical Society. 167(0). 151–170. 77 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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