Wilhelm Klingenberg

4.3k total citations
90 papers, 2.5k citations indexed

About

Wilhelm Klingenberg is a scholar working on Geometry and Topology, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, Wilhelm Klingenberg has authored 90 papers receiving a total of 2.5k indexed citations (citations by other indexed papers that have themselves been cited), including 52 papers in Geometry and Topology, 41 papers in Applied Mathematics and 13 papers in Computational Mechanics. Recurrent topics in Wilhelm Klingenberg's work include Geometric Analysis and Curvature Flows (27 papers), Mathematics and Applications (26 papers) and Geometry and complex manifolds (17 papers). Wilhelm Klingenberg is often cited by papers focused on Geometric Analysis and Curvature Flows (27 papers), Mathematics and Applications (26 papers) and Geometry and complex manifolds (17 papers). Wilhelm Klingenberg collaborates with scholars based in Germany, United Kingdom and Ireland. Wilhelm Klingenberg's co-authors include Wolfgang Meyer, Detlef Gromoll, Brendan Guilfoyle, Eric Bedford, Floris Takens, Victor Bangert, Shigeo Sasaki, Friedrich Bachmann, Takashi Sakai and Dmitri V. Alekseevsky and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Wilhelm Klingenberg

79 papers receiving 1.9k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Wilhelm Klingenberg Germany	23	1.3k	1.2k	701	534	268	90	2.5k
Joseph A. Wolf United States	28	1.1k 0.8×	1.6k 1.3×	1.4k 2.0×	470 0.9×	174 0.6×	159	2.9k
Marcel Berger France	21	1.3k 1.0×	1.2k 1.0×	594 0.8×	584 1.1×	280 1.0×	49	2.4k
James Eells United Kingdom	25	1.9k 1.5×	1.8k 1.4×	885 1.3×	612 1.1×	496 1.9×	61	3.0k
M. Gromov France	28	2.3k 1.7×	3.0k 2.4×	1.9k 2.8×	398 0.7×	518 1.9×	66	4.2k
F. W. Warner United States	14	1.6k 1.2×	934 0.8×	840 1.2×	399 0.7×	717 2.7×	20	2.7k
William S. Massey United States	24	430 0.3×	1.3k 1.0×	1.1k 1.6×	94 0.2×	603 2.3×	47	2.5k
J. W. Bruce United Kingdom	20	684 0.5×	941 0.8×	325 0.5×	169 0.3×	273 1.0×	91	1.9k
Eugenio Calabi United States	20	1.5k 1.1×	1.4k 1.1×	413 0.6×	389 0.7×	176 0.7×	31	2.1k
Hassler Whitney United States	13	528 0.4×	785 0.6×	603 0.9×	90 0.2×	375 1.4×	18	2.0k
Loring W. Tu United States	11	310 0.2×	964 0.8×	843 1.2×	165 0.3×	246 0.9×	25	1.9k

Countries citing papers authored by Wilhelm Klingenberg

Since Specialization

Citations

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

Fields of papers citing papers by Wilhelm Klingenberg

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Wilhelm Klingenberg

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

Klingenberg, Wilhelm, et al.. (2023). Local non-injectivity of the exponential map at critical points in sub-Riemannian geometry. Nonlinear Analysis. 239. 113421–113421.

Guilfoyle, Brendan & Wilhelm Klingenberg. (2023). Roots of Polynomials and Umbilics of Surfaces. Results in Mathematics. 78(6). 3 indexed citations

Guilfoyle, Brendan & Wilhelm Klingenberg. (2020). Fredholm-Regularity of Holomorphic Discs in Plane Bundles over Compact Surfaces. Annales de la faculté des sciences de Toulouse Mathématiques. 29(3). 565–576. 1 indexed citations

Guilfoyle, Brendan & Wilhelm Klingenberg. (2010). On Weingarten surfaces in Euclidean and Lorentzian 3-space. Differential Geometry and its Applications. 28(4). 454–468. 3 indexed citations

Guilfoyle, Brendan & Wilhelm Klingenberg. (2008). Proof of the Caratheodory Conjecture by Mean Curvature Flow in the Space of Oriented Affine Lines. arXiv (Cornell University). 6 indexed citations

Huisken, Gerhard & Wilhelm Klingenberg. (1999). Flow of real hypersurfaces by the trace of the Levi form. Mathematical Research Letters. 6(6). 645–661. 12 indexed citations

Klingenberg, Wilhelm. (1992). Lineare Algebra und Geometrie. Springer-Lehrbuch. 3 indexed citations

Bedford, Eric & Wilhelm Klingenberg. (1991). On the Envelope of Holomorphy of a 2-Sphere in ℂ 2. Journal of the American Mathematical Society. 4(3). 623–623. 18 indexed citations

Klingenberg, Wilhelm. (1990). Uniform boundary regularity of proper holomorphic maps. French digital mathematics library (Numdam). 17(3). 355–364. 1 indexed citations

10.

Bangert, Victor & Wilhelm Klingenberg. (1983). Homology generated by iterated closed geodesics. Topology. 22(4). 379–388. 36 indexed citations

11.

Klingenberg, Wilhelm. (1983). Closed Geodesics on Riemannian Manifolds. 17 indexed citations

12.

Klingenberg, Wilhelm. (1979). Closed geodesics on surfaces of genus 0. French digital mathematics library (Numdam). 6(1). 19–38. 3 indexed citations

13.

Klingenberg, Wilhelm. (1971). Grundlagen der Geometrie. 2 indexed citations

14.

Klingenberg, Wilhelm & Peter Klein. (1971). Lineare Algebra und analytische Geometrie. 2 indexed citations

15.

Klingenberg, Wilhelm. (1961). Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung. Commentarii Mathematici Helvetici. 35(1). 47–54. 88 indexed citations

16.

Klingenberg, Wilhelm. (1961). Lineare Gruppen über verallgemeinerten Bewertungsringen. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 25(1-2). 23–35. 1 indexed citations

17.

Klingenberg, Wilhelm. (1959). �ber kompakte Riemannsche Mannigfaltigkeiten. Mathematische Annalen. 137(4). 351–361. 2 indexed citations

18.

Klingenberg, Wilhelm. (1952). Beziehungen zwischen einigen affinen schließungssätzen. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 18(1). 120–143. 14 indexed citations

19.

Klingenberg, Wilhelm. (1951). Zur affinen Differentialgeometrie. Mathematische Zeitschrift. 54(1). 65–80. 12 indexed citations

20.

Bachmann, Friedrich & Wilhelm Klingenberg. (1951). Über SeiteneinteiIungen in affinen und euklidischen Ebenen. Mathematische Annalen. 123(1). 288–301. 15 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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