Udo Simon

1.8k total citations
85 papers, 1.1k citations indexed

About

Udo Simon is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Udo Simon has authored 85 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 60 papers in Applied Mathematics, 56 papers in Geometry and Topology and 17 papers in Astronomy and Astrophysics. Recurrent topics in Udo Simon's work include Geometric Analysis and Curvature Flows (52 papers), Geometry and complex manifolds (29 papers) and Mathematics and Applications (22 papers). Udo Simon is often cited by papers focused on Geometric Analysis and Curvature Flows (52 papers), Geometry and complex manifolds (29 papers) and Mathematics and Applications (22 papers). Udo Simon collaborates with scholars based in Germany, China and United States. Udo Simon's co-authors include An-Min Li, Guosong Zhao, Luc Vrancken, Zejun Hu, Haizhong Li, Peter Gilkey, Alan Weinstein, Katsumi Nomizu, Vladimir Oliker and Leopold Verstraelen and has published in prestigious journals such as Lecture notes in mathematics, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences and Proceedings of the American Mathematical Society.

In The Last Decade

Udo Simon

80 papers receiving 944 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Udo Simon Germany 18 921 707 399 121 83 85 1.1k
Shyūichi Izumiya Japan 17 679 0.7× 493 0.7× 338 0.8× 275 2.3× 62 0.7× 98 935
Leopold Verstraelen Belgium 23 1.4k 1.6× 1.1k 1.5× 895 2.2× 108 0.9× 51 0.6× 125 1.6k
Franki Dillen Belgium 25 1.7k 1.8× 1.3k 1.9× 881 2.2× 141 1.2× 62 0.7× 117 1.8k
Thomas E. Cecil United States 16 847 0.9× 769 1.1× 407 1.0× 89 0.7× 61 0.7× 35 1.0k
Luc Vrancken Belgium 24 2.0k 2.1× 1.5k 2.1× 1.1k 2.7× 103 0.9× 44 0.5× 189 2.0k
Sebastián Montiel Spain 19 1.1k 1.2× 889 1.3× 541 1.4× 56 0.5× 26 0.3× 42 1.2k
Pascual Lucas Spain 16 486 0.5× 356 0.5× 329 0.8× 91 0.8× 85 1.0× 53 633
J.-H. Eschenburg Germany 16 987 1.1× 856 1.2× 422 1.1× 42 0.3× 49 0.6× 51 1.3k
Harold Rosenberg France 26 1.8k 1.9× 1.4k 2.0× 301 0.8× 92 0.8× 29 0.3× 107 1.9k
А. В. Погорелов Russia 7 673 0.7× 496 0.7× 109 0.3× 42 0.3× 50 0.6× 32 877

Countries citing papers authored by Udo Simon

Since Specialization
Citations

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

Fields of papers citing papers by Udo Simon

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Udo Simon

This figure shows the co-authorship network connecting the top 25 collaborators of Udo Simon. A scholar is included among the top collaborators of Udo Simon 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 Udo Simon. Udo Simon 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.
Rösch, Petra & Udo Simon. (2012). How purity is made. Harrassowitz eBooks. 2 indexed citations
2.
Gilkey, Peter, Stana Nikčević, & Udo Simon. (2010). Geometric realizations, curvature decompositions, and Weyl manifolds. Journal of Geometry and Physics. 61(1). 270–275. 12 indexed citations
3.
Hu, Zejun, Haizhong Li, Udo Simon, & Luc Vrancken. (2008). On locally strongly convex affine hypersurfaces with parallel cubic form. Part I. Differential Geometry and its Applications. 27(2). 188–205. 27 indexed citations
4.
Hirzebruch, Friedrich & Udo Simon. (2006). Nachruf auf Shiing-Shen Chern. Max Planck Institute for Plasma Physics. 108(8). 197–217. 1 indexed citations
5.
Li, An-Min, Haizhong Li, & Udo Simon. (2004). Centroaffine Bernstein problems. Differential Geometry and its Applications. 20(3). 331–356. 17 indexed citations
6.
Simon, Udo, et al.. (2000). Intrinsic and Extrinsic Geometry of Ovaloids and Rigidity. 284–293. 5 indexed citations
7.
Li, An-Min, Udo Simon, & Guosong Zhao. (2000). Hypersurfaces with Prescribed Affine Gauss–Kronecker Curvature. Geometriae Dedicata. 81(1-3). 141–166. 7 indexed citations
8.
Simon, Udo, et al.. (1999). Generating higher order Codazzi tensors by functions. 174–191. 10 indexed citations
9.
Scharlach, Christine, Udo Simon, Leopold Verstraelen, & Luc Vrancken. (1997). A new intrinsic curvature invariant for centroaffine hypersurfaces.. 38(2). 437–458. 11 indexed citations
10.
Dillen, Franki, et al.. (1996). Geometry and topology of submanifolds VIII. 1–426. 27 indexed citations
11.
Gardner, Robert B., Marcus Kriele, & Udo Simon. (1995). Generalized spherical functions on projectively flat manifolds. Results in Mathematics. 27(1-2). 41–50. 2 indexed citations
12.
Gilkey, Peter, et al.. (1994). Applications of spectral geometry to affine and projective geometry.. 35(2). 283–314. 4 indexed citations
13.
Simon, Udo. (1991). Local classification of twodimensional affine spheres with constant curvature metric. Differential Geometry and its Applications. 1(2). 123–132. 28 indexed citations
14.
Simon, Udo, et al.. (1986). Hypersurfaces with constant equiaffine mean curvature. Archiv der Mathematik. 46(1). 85–90. 8 indexed citations
15.
Simon, Udo & Vladimir Oliker. (1983). Codazzi tensors and equations of Monge-Ampère type on compact manifolds of constant sectional curvature.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1983(342). 35–65. 20 indexed citations
16.
Simon, Udo. (1983). The pick invariant in equiaffine differential geometry. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 53(1). 225–228. 8 indexed citations
17.
Simon, Udo, et al.. (1979). Eigenvalues and eigenfunctions of Riemannian manifolds. Proceedings of the American Mathematical Society. 77(2). 237–242. 2 indexed citations
18.
Simon, Udo. (1977). Einstein spaces isometrically diffeomorphic to a sphere. manuscripta mathematica. 22(1). 1–5.
19.
Simon, Udo, et al.. (1973). Beweismethoden der Differentialgeometrie im Großen. Lecture notes in mathematics. 25 indexed citations
20.
Simon, Udo. (1972). Pseudogeodätische Linien auf Flächen. Acta Mathematica Academiae Scientiarum Hungaricae. 22(3-4). 325–330.

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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