Uwe Abresch

1.3k total citations
13 papers, 778 citations indexed

About

Uwe Abresch is a scholar working on Geometry and Topology, Applied Mathematics and Astronomy and Astrophysics. According to data from OpenAlex, Uwe Abresch has authored 13 papers receiving a total of 778 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Geometry and Topology, 7 papers in Applied Mathematics and 3 papers in Astronomy and Astrophysics. Recurrent topics in Uwe Abresch's work include Geometric Analysis and Curvature Flows (7 papers), Geometric and Algebraic Topology (4 papers) and Geometry and complex manifolds (3 papers). Uwe Abresch is often cited by papers focused on Geometric Analysis and Curvature Flows (7 papers), Geometric and Algebraic Topology (4 papers) and Geometry and complex manifolds (3 papers). Uwe Abresch collaborates with scholars based in Germany and France. Uwe Abresch's co-authors include Joel Langer, Harold Rosenberg, Detlef Gromoll, Wolfgang Meyer, Viktor Schroeder, Anton Bovier, Olaf Lechtenfeld and V. Rittenberg and has published in prestigious journals such as Journal of Mathematical Physics, Acta Mathematica and Journal of Differential Geometry.

In The Last Decade

Uwe Abresch

13 papers receiving 631 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Uwe Abresch Germany	10	699	590	186	149	62	13	778
Katsuhiro Shiohama Japan	17	747 1.1×	608 1.0×	257 1.4×	156 1.0×	77 1.2×	67	902
John Douglas Moore United States	9	478 0.7×	373 0.6×	206 1.1×	66 0.4×	48 0.8×	34	580
G. Perelman United States	5	393 0.6×	354 0.6×	157 0.8×	89 0.6×	39 0.6×	10	475
Tominosuke Ôtsuki Japan	13	554 0.8×	394 0.7×	287 1.5×	99 0.7×	54 0.9×	67	641
John Urbas Australia	16	867 1.2×	572 1.0×	90 0.5×	138 0.9×	155 2.5×	29	903
Thomas E. Cecil United States	16	847 1.2×	769 1.3×	407 2.2×	128 0.9×	35 0.6×	35	1.0k
Rugang Ye United States	10	496 0.7×	388 0.7×	107 0.6×	134 0.9×	101 1.6×	18	589
Dirk Ferus Germany	19	850 1.2×	749 1.3×	307 1.7×	172 1.2×	37 0.6×	29	1.0k
Pierre Pansu France	10	613 0.9×	569 1.0×	102 0.5×	303 2.0×	121 2.0×	38	821
Nicholas J. Korevaar United States	11	749 1.1×	429 0.7×	71 0.4×	187 1.3×	263 4.2×	15	859

Countries citing papers authored by Uwe Abresch

Since Specialization

Citations

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

Fields of papers citing papers by Uwe Abresch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Uwe Abresch

This figure shows the co-authorship network connecting the top 25 collaborators of Uwe Abresch. A scholar is included among the top collaborators of Uwe Abresch 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 Uwe Abresch. Uwe Abresch 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:

13 of 13 papers shown

Abresch, Uwe, et al.. (2007). Wiedersehen metrics and exotic involutions of Euclidean spheres. Journal für die reine und angewandte Mathematik (Crelles Journal). 2007(605). 1–21. 5 indexed citations

Abresch, Uwe & Harold Rosenberg. (2005). Generalized Hopf differentials. Matemática Contemporânea. 28(1). 63 indexed citations

Abresch, Uwe & Harold Rosenberg. (2004). A Hopf differential for constant mean curvature surfaces in S2×R and H2×R. Acta Mathematica. 193(2). 141–174. 114 indexed citations

Abresch, Uwe & Wolfgang Meyer. (1996). A sphere theorem with a pinching constant below ${1øver4}$. Journal of Differential Geometry. 44(2). 8 indexed citations

Abresch, Uwe & Wolfgang Meyer. (1994). Pinching below $\frac14$, injectivity radius, and conjugate radius. Journal of Differential Geometry. 40(3). 10 indexed citations

Abresch, Uwe & Viktor Schroeder. (1992). Graph manifolds, ends of negatively curved spaces and the hyperbolic 120-cell space. Journal of Differential Geometry. 35(2). 9 indexed citations

Abresch, Uwe & Detlef Gromoll. (1990). On Complete Manifolds With Nonnegative Ricci Curvature. Journal of the American Mathematical Society. 3(2). 355–355. 58 indexed citations

Abresch, Uwe & Detlef Gromoll. (1990). On complete manifolds with nonnegative Ricci curvature. Journal of the American Mathematical Society. 3(2). 355–374. 106 indexed citations

Abresch, Uwe. (1987). Constant mean curvature tori in terms of elliptic functions.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1987(374). 169–192. 56 indexed citations

10.

Abresch, Uwe & Joel Langer. (1986). The normalized curve shortening flow and homothetic solutions. Journal of Differential Geometry. 23(2). 199 indexed citations

11.

Abresch, Uwe. (1985). Lower curvature bounds, Toponogov's theorem, and bounded topology. Annales Scientifiques de l École Normale Supérieure. 18(4). 651–670. 84 indexed citations

12.

Abresch, Uwe. (1983). Isoparametric hypersurfaces with four or six distinct principal curvatures. Mathematische Annalen. 264(3). 283–302. 61 indexed citations

13.

Abresch, Uwe, et al.. (1980). Finite nonabelian subgroups of SU(n) with analytic expressions for the irreducible representations and the Clebsch–Gordan coefficients. Journal of Mathematical Physics. 21(10). 2481–2486. 5 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.

Explore authors with similar magnitude of impact