Karsten Grove

3.5k total citations
67 papers, 1.7k citations indexed

About

Karsten Grove is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Karsten Grove has authored 67 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Geometry and Topology, 38 papers in Applied Mathematics and 36 papers in Mathematical Physics. Recurrent topics in Karsten Grove's work include Geometric Analysis and Curvature Flows (37 papers), Geometric and Algebraic Topology (27 papers) and Homotopy and Cohomology in Algebraic Topology (24 papers). Karsten Grove is often cited by papers focused on Geometric Analysis and Curvature Flows (37 papers), Geometric and Algebraic Topology (27 papers) and Homotopy and Cohomology in Algebraic Topology (24 papers). Karsten Grove collaborates with scholars based in United States, Denmark and Germany. Karsten Grove's co-authors include Peter Petersen, Wolfgang Ziller, Katsuhiro Shiohama, Hermann Karcher, Detlef Gromoll, Stephen Halperin, Catherine Searle, Ernst A. Ruh, Gert Kjærgård Pedersen and Steen Markvorsen and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Karsten Grove

65 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Karsten Grove United States	24	1.3k	1.3k	641	398	130	67	1.7k
Wu-Yi Hsiang United States	20	822 0.6×	826 0.7×	422 0.7×	273 0.7×	107 0.8×	69	1.3k
J.-H. Eschenburg Germany	16	987 0.8×	856 0.7×	303 0.5×	422 1.1×	41 0.3×	51	1.3k
Detlef Gromoll United States	20	2.1k 1.6×	1.7k 1.3×	558 0.9×	909 2.3×	55 0.4×	32	2.6k
Robert E. Greene United States	19	818 0.6×	686 0.5×	271 0.4×	180 0.5×	35 0.3×	46	1.1k
Yum-Tong Siu United States	27	1.6k 1.3×	2.1k 1.7×	829 1.3×	179 0.4×	215 1.7×	92	2.5k
Isaac Chavel United States	15	751 0.6×	443 0.4×	370 0.6×	153 0.4×	36 0.3×	33	1.1k
Peter Petersen United States	16	1.4k 1.1×	1.1k 0.9×	289 0.5×	669 1.7×	16 0.1×	56	1.6k
Stephen Semmes United States	26	2.1k 1.6×	797 0.6×	949 1.5×	97 0.2×	27 0.2×	66	2.4k
Herbert Busemann United States	14	564 0.4×	437 0.3×	211 0.3×	199 0.5×	86 0.7×	38	1.1k
Bernard Shiffman United States	20	761 0.6×	919 0.7×	413 0.6×	48 0.1×	89 0.7×	56	1.2k

Countries citing papers authored by Karsten Grove

Since Specialization

Citations

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

Fields of papers citing papers by Karsten Grove

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Karsten Grove

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Grove, Karsten, et al.. (2020). Almost non-negative curvature and rational ellipticity in cohomogeneity two. Annales de l’institut Fourier. 69(7). 2921–2939. 3 indexed citations

Fang, Fuquan, Karsten Grove, & Gudlaugur Thorbergsson. (2017). Tits geometry and positive curvature. Acta Mathematica. 218(1). 1–53. 2 indexed citations

Grove, Karsten & Wolfgang Ziller. (2011). Lifting group actions and nonnegative curvature. Transactions of the American Mathematical Society. 363(6). 2865–2890. 13 indexed citations

Grove, Karsten, Luigi Verdiani, & Wolfgang Ziller. (2008). A new type of a positively curved manifold. arXiv (Cornell University). 7 indexed citations

Cheeger, Jeff & Karsten Grove. (2007). Surveys in differential geometry. Vol. XI. 11. 13 indexed citations

Cheeger, Jeff & Karsten Grove. (2007). Metric and comparison geometry. 3 indexed citations

Grove, Karsten, et al.. (2006). Symmetries of Eschenburg spaces and the Chern problem. Asian Journal of Mathematics. 10(3). 647–661. 7 indexed citations

Grove, Karsten & Wolfgang Ziller. (2002). Cohomogeneity one manifolds with positive Ricci curvature. Inventiones mathematicae. 149(3). 619–646. 69 indexed citations

Grove, Karsten, Ib Madsen, & Erik Kjær Pedersen. (2000). Geometry and topology : Aarhus : Conference on Geometry and Topology, August 10-16, 1998, Aarhus University, Aarhus, Denmark. American Mathematical Society eBooks. 1 indexed citations

10.

Grove, Karsten. (1999). Riemannian geometry : a metric entrance. 2 indexed citations

11.

Grove, Karsten & Steen Markvorsen. (1995). New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry. Journal of the American Mathematical Society. 8(1). 1–1. 12 indexed citations

12.

Grove, Karsten & Catherine Searle. (1994). Positively curved manifolds with maximal symmetry-rank. Journal of Pure and Applied Algebra. 91(1-3). 137–142. 63 indexed citations

13.

Grove, Karsten & Peter Petersen. (1993). A radius sphere theorem. Inventiones mathematicae. 112(1). 577–583. 34 indexed citations

14.

Grove, Karsten, Peter Petersen, & Jiarui Wu. (1989). Controlled topology in geometry. Bulletin of the American Mathematical Society. 20(2). 181–183. 15 indexed citations

15.

Grove, Karsten & Stephen Halperin. (1987). Dupin hypersurfaces, group actions and the double mapping cylinder. Journal of Differential Geometry. 26(3). 48 indexed citations

16.

Grove, Karsten & Gert Kjærgård Pedersen. (1984). Sub-Stonean spaces and corona sets. Journal of Functional Analysis. 56(1). 124–143. 12 indexed citations

17.

Grove, Karsten & Gert Kjærgård Pedersen. (1984). Diagonalizing matrices over C(X). Journal of Functional Analysis. 59(1). 65–89. 55 indexed citations

18.

Grove, Karsten. (1976). Center of Mass and G-Local Triviality of G-Bundles. Proceedings of the American Mathematical Society. 54(1). 352–352. 4 indexed citations

19.

Grove, Karsten. (1976). Center of mass and 𝐺-local triviality of 𝐺-bundles. Proceedings of the American Mathematical Society. 54(1). 352–354. 3 indexed citations

20.

Grove, Karsten. (1974). Isometry-invariant geodesics. Topology. 13(3). 281–292. 26 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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