Claus Gerhardt

1.5k total citations
41 papers, 818 citations indexed

About

Claus Gerhardt is a scholar working on Applied Mathematics, Astronomy and Astrophysics and Geometry and Topology. According to data from OpenAlex, Claus Gerhardt has authored 41 papers receiving a total of 818 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 18 papers in Astronomy and Astrophysics and 11 papers in Geometry and Topology. Recurrent topics in Claus Gerhardt's work include Geometric Analysis and Curvature Flows (20 papers), Geometry and complex manifolds (10 papers) and Cosmology and Gravitation Theories (10 papers). Claus Gerhardt is often cited by papers focused on Geometric Analysis and Curvature Flows (20 papers), Geometry and complex manifolds (10 papers) and Cosmology and Gravitation Theories (10 papers). Claus Gerhardt collaborates with scholars based in Germany, Japan and United States. Claus Gerhardt's co-authors include Robert Finn and has published in prestigious journals such as Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Claus Gerhardt

39 papers receiving 716 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Claus Gerhardt Germany 18 698 309 219 192 127 41 818
Marc Troyanov Switzerland 14 580 0.8× 452 1.5× 150 0.7× 122 0.6× 205 1.6× 73 872
Paolo Piccione Brazil 15 529 0.8× 354 1.1× 95 0.4× 345 1.8× 205 1.6× 113 799
Jie Qing United States 18 776 1.1× 404 1.3× 225 1.0× 148 0.8× 191 1.5× 52 878
J.-H. Eschenburg Germany 16 987 1.4× 856 2.8× 77 0.4× 422 2.2× 303 2.4× 51 1.3k
А. В. Погорелов Russia 7 673 1.0× 496 1.6× 107 0.5× 109 0.6× 97 0.8× 32 877
Henry C. Wente United States 12 568 0.8× 208 0.7× 253 1.2× 43 0.2× 155 1.2× 25 781
Fabio Giannoni Italy 18 492 0.7× 213 0.7× 61 0.3× 443 2.3× 89 0.7× 96 834
Bernard Shiffman United States 20 761 1.1× 919 3.0× 82 0.4× 48 0.3× 413 3.3× 56 1.2k
Nicholas J. Korevaar United States 11 749 1.1× 429 1.4× 263 1.2× 71 0.4× 187 1.5× 15 859
Mitsuru Nakai Japan 18 658 0.9× 427 1.4× 359 1.6× 62 0.3× 455 3.6× 155 1.1k

Countries citing papers authored by Claus Gerhardt

Since Specialization
Citations

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

Fields of papers citing papers by Claus Gerhardt

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Claus Gerhardt

This figure shows the co-authorship network connecting the top 25 collaborators of Claus Gerhardt. A scholar is included among the top collaborators of Claus Gerhardt 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 Claus Gerhardt. Claus Gerhardt is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Gerhardt, Claus. (2023). The Quantization of Gravity: The Quantization of the Full Einstein Equations. Symmetry. 15(8). 1599–1599. 1 indexed citations
2.
Gerhardt, Claus. (2018). The Quantization of a Kerr-AdS Black Hole. Advances in Mathematical Physics. 2018. 1–10. 2 indexed citations
3.
Gerhardt, Claus. (2012). Non-scale-invariant inverse curvature flows in Euclidean space. Calculus of Variations and Partial Differential Equations. 49(1-2). 471–489. 31 indexed citations
4.
Gerhardt, Claus. (2008). The inverse mean curvature flow in cosmological spacetimes. Advances in Theoretical and Mathematical Physics. 12(6). 1183–1207. 5 indexed citations
5.
Gerhardt, Claus. (2006). On the CMC foliation of future ends of a spacetime. Pacific Journal of Mathematics. 226(2). 297–308. 8 indexed citations
6.
Gerhardt, Claus. (2006). The Inverse Mean Curvature Flow in Robertson-Walker Spaces and its Application. Methods and Applications of Analysis. 13(1). 19–28. 1 indexed citations
7.
Gerhardt, Claus. (2000). Hypersurfaces of prescribed mean curvature in Lorentzian manifolds. Mathematische Zeitschrift. 235(1). 83–97. 15 indexed citations
8.
Gerhardt, Claus. (1998). Closed hypersurfaces of prescribed mean curvature in locally conformally flat Riemannian manifolds. Journal of Differential Geometry. 48(3). 3 indexed citations
9.
Gerhardt, Claus. (1997). Hypersurfaces of prescribed Weingarten curvature. Mathematische Zeitschrift. 224(2). 167–194. 20 indexed citations
10.
Gerhardt, Claus. (1990). Flow of nonconvex hypersurfaces into spheres. Journal of Differential Geometry. 32(1). 158 indexed citations
11.
Gerhardt, Claus. (1983). H-surfaces in Lorentzian manifolds. Communications in Mathematical Physics. 89(4). 523–553. 120 indexed citations
12.
Gerhardt, Claus. (1980). Evolutionary surfaces of prescribed mean curvature. Journal of Differential Equations. 36(1). 139–172. 32 indexed citations
13.
Gerhardt, Claus. (1980). A free boundary value problem for capillary surfaces. Pacific Journal of Mathematics. 88(2). 285–295. 13 indexed citations
14.
Gerhardt, Claus. (1979). Stationary solutions to the Navier-Stokes equations in dimension four. Mathematische Zeitschrift. 165(2). 193–197. 28 indexed citations
15.
Gerhardt, Claus. (1978). Lp-estimates for solutions to the instationary Navier-Stokes equations in dimension two. Pacific Journal of Mathematics. 79(2). 375–398. 22 indexed citations
16.
Gerhardt, Claus. (1976). Global regularity of the solutions to the capillarity problem. French digital mathematics library (Numdam). 3(1). 157–175. 44 indexed citations
17.
Gerhardt, Claus. (1975). On the capillarity problem with constant volume. French digital mathematics library (Numdam). 2(2). 303–320. 20 indexed citations
18.
Gerhardt, Claus. (1974). On the exterior capillarity problem. Mathematische Zeitschrift. 136(4). 345–349. 3 indexed citations
19.
Gerhardt, Claus. (1973). Hypersurfaces of prescribed mean curvature over obstacles. Mathematische Zeitschrift. 133(2). 169–185. 16 indexed citations
20.
Gerhardt, Claus. (1973). Regularity of solutions of nonlinear variational inequalities. Archive for Rational Mechanics and Analysis. 52(4). 389–393. 22 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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2026