Gerhard Knieper

852 total citations
30 papers, 339 citations indexed

About

Gerhard Knieper is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Gerhard Knieper has authored 30 papers receiving a total of 339 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Mathematical Physics, 20 papers in Applied Mathematics and 16 papers in Geometry and Topology. Recurrent topics in Gerhard Knieper's work include Mathematical Dynamics and Fractals (20 papers), Geometric Analysis and Curvature Flows (19 papers) and Geometry and complex manifolds (8 papers). Gerhard Knieper is often cited by papers focused on Mathematical Dynamics and Fractals (20 papers), Geometric Analysis and Curvature Flows (19 papers) and Geometry and complex manifolds (8 papers). Gerhard Knieper collaborates with scholars based in Germany, United States and France. Gerhard Knieper's co-authors include Howard M. Weiss, Mark Pollicott, A. Katok, Michel Coornaert, Anatole Katok, Keith Burns, Norbert Peyerimhoff, Stefan Müller, Peter Braun and Fritz Haake and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

Gerhard Knieper

28 papers receiving 296 citations

Peers

Gerhard Knieper

SNP

Ralf Spatzier United States

J. F. Plante United States

Roger Bielawski United Kingdom

Thierry Barbot France

Helge Glöckner Germany

Edward Y. Miller United States

Ulrich Bunke Germany

Nicolae Adrian Secelean Romania

Subhashis Nag India

Adalberto P. Bergamasco Brazil

Ralf Spatzier United States

Gerhard Knieper

511 ×1.9

445 ×2.4

180 ×1.1

149 ×1.4

SNP

29 ×1.3

Citations per year, relative to Gerhard Knieper Gerhard Knieper (= 1×) peers Ralf Spatzier

Countries citing papers authored by Gerhard Knieper

Since Specialization

Citations

This map shows the geographic impact of Gerhard Knieper'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 Gerhard Knieper with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerhard Knieper more than expected).

Fields of papers citing papers by Gerhard Knieper

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerhard Knieper. 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 Gerhard Knieper. The network helps show where Gerhard Knieper may publish in the future.

Co-authorship network of co-authors of Gerhard Knieper

This figure shows the co-authorship network connecting the top 25 collaborators of Gerhard Knieper. A scholar is included among the top collaborators of Gerhard Knieper 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 Gerhard Knieper. Gerhard Knieper 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

Knieper, Gerhard, et al.. (2023). Geodesic Anosov flows, hyperbolic closed geodesics and stable ergodicity. Proceedings of the American Mathematical Society. 152(10). 4277–4283.

Athreya, Jayadev S., Marc Bourdon, Gerhard Knieper, et al.. (2016). Geometry, Topology, and Dynamics in Negative Curvature. Cambridge University Press eBooks. 2 indexed citations

Knieper, Gerhard & Norbert Peyerimhoff. (2015). Harmonic Functions on Rank One Asymptotically Harmonic Manifolds. Journal of Geometric Analysis. 26(2). 750–781. 2 indexed citations

Knieper, Gerhard, et al.. (2014). Topological entropyof minimal geodesics and volume growth on surfaces. Journal of Modern Dynamics. 8(1). 75–91. 4 indexed citations

Knieper, Gerhard. (2012). New results on noncompact harmonic manifolds. Commentarii Mathematici Helvetici. 87(3). 669–703. 12 indexed citations

Knieper, Gerhard, et al.. (2011). MINIMAL GEODESIC FOLIATION ON T² IN CASE OF VANISHING TOPOLOGICAL ENTROPY. Journal of Topology and Analysis. 3(4). 511–520. 4 indexed citations

Knieper, Gerhard, et al.. (2009). Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry. Oberwolfach Reports. 5(3). 2337–2406. 1 indexed citations

Altland, Alexander, Peter Braun, Fritz Haake, et al.. (2008). NEAR ACTION-DEGENERATE PERIODIC-ORBIT BUNCHES: A SKELETON OF CHAOS. Bristol Research (University of Bristol). 40–47. 4 indexed citations

Knieper, Gerhard, et al.. (2007). Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry. Oberwolfach Reports. 3(3). 1991–2058. 1 indexed citations

10.

Knieper, Gerhard. (2005). The uniqueness of the maximal measure for geodesic flows on symmetric spaces of higher rank. Israel Journal of Mathematics. 149(1). 171–183. 6 indexed citations

11.

Knieper, Gerhard & Howard M. Weiss. (2002). C∞ Genericity of Positive Topological Entropy for Geodesic Flows on S2. Journal of Differential Geometry. 62(1). 9 indexed citations

12.

Knieper, Gerhard. (1998). The Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Rank 1 Manifolds. Annals of Mathematics. 148(1). 291–291. 45 indexed citations

13.

Knieper, Gerhard. (1997). A second derivative formula of the Liouville entropy atspaces of constant negative curvature. Ergodic Theory and Dynamical Systems. 17(5). 1131–1135. 2 indexed citations

14.

Knieper, Gerhard. (1995). Volume growth, entropy and the geodesic stretch. Mathematical Research Letters. 2(1). 39–58. 8 indexed citations

15.

Knieper, Gerhard. (1994). Spherical means on compact Riemannian manifolds of negative curvature. Differential Geometry and its Applications. 4(4). 361–390. 19 indexed citations

16.

Knieper, Gerhard & Howard M. Weiss. (1994). A surface with positive curvature and positive topological entropy. Journal of Differential Geometry. 39(2). 9 indexed citations

17.

Katok, Anatole, Gerhard Knieper, & Howard M. Weiss. (1991). Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows. Communications in Mathematical Physics. 138(1). 19–31. 28 indexed citations

18.

Katok, A., Gerhard Knieper, Mark Pollicott, & Howard M. Weiss. (1990). Differentiability of entropy for Anosov and geodesic flows. Bulletin of the American Mathematical Society. 22(2). 285–293. 10 indexed citations

19.

Katok, A., Gerhard Knieper, Mark Pollicott, & Howard M. Weiss. (1989). Differentiability and analyticity of topological entropy for Anosov and geodesic flows. Inventiones mathematicae. 98(3). 581–597. 61 indexed citations

20.

Knieper, Gerhard. (1983). Das Wachstum der �quivalenzklassen geschlossener Geod�tischer in kompakten Mannigfaltigkeiten. Archiv der Mathematik. 40(1). 559–568. 11 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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