Udo Simon

1.8k citations
85 papers · 1.1k · h-index 18

Impact in

    • Geometric Analysis and Curvature Flows
    • Point processes and geometric inequalities
    • Algebraic and Geometric Analysis
    • Geometry and complex manifolds
    • Mathematics and Applications
    • Geometric and Algebraic Topology

Papers in

    • Geometric Analysis and Curvature Flows 52
    • Algebraic and Geometric Analysis 9
    • Nonlinear Partial Differential Equations 5
    • Geometry and complex manifolds 29
    • Mathematics and Applications 22

Udo Simon

80 papers receiving 944 citations

Peers

Udo Simon
Comparison fields: 5 of 42
  • Applied Mathematics 921
  • Geometry and Topology 707
  • Astronomy and Astrophysics 399
  • Theoretical Computer Science 23
  • Computational Mathematics 9
Replace Thomas E. Cecil with:
Thomas E. Cecil United States
Luc Vrancken Belgium
Franki Dillen Belgium
Josef Mikeš Czechia
Leopold Verstraelen Belgium
Shigeru Ishihara Japan
Shyūichi Izumiya Japan
Marcos Dajczer Brazil
J.-H. Eschenburg Germany
Pascual Lucas Spain
Udo Simon relative to Thomas E. Cecil United States Thomas E. Cecil's profile →
Citations per field
00.5×3.3×
Thomas E. Cecil · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Udo Simon, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Udo Simon Line = papers co-authored together Udo Simon links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 85 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Introduction to the affine differential geometry of hypersurfaces
1991107
2 1993103
3 199151
4 201549
5 199040
6 198537
7 196733
8 199128
9 200827
10 199627
11 201026
12 196926
13 197325
14 199722
15 198320
16 198418
17 197618
18 200417
19 197517
20 199617

About Udo Simon

Udo Simon is a scholar working on Applied Mathematics, Geometry and Topology, Astronomy and Astrophysics, Computational Mechanics and Mathematical Physics, having authored 85 papers that have together received 1.1k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (52 papers), Geometry and complex manifolds (29 papers), Mathematics and Applications (22 papers), Advanced Differential Geometry Research (17 papers), Advanced Numerical Analysis Techniques (13 papers), Algebraic and Geometric Analysis (9 papers), Homotopy and Cohomology in Algebraic Topology (6 papers) and Nonlinear Partial Differential Equations (5 papers). The work is most often cited by research in Applied Mathematics (921 citations), Geometry and Topology (707 citations), Astronomy and Astrophysics (399 citations), Theoretical Computer Science (23 citations) and Computational Mathematics (9 citations). Udo Simon has collaborated with scholars based in Germany, China and United States. Frequent co-authors include An-Min Li, Guosong Zhao, Luc Vrancken, Zejun Hu, Haizhong Li, Alan Weinstein, Katsumi Nomizu, Peter Gilkey, Vladimir Oliker and Robert B. Gardner. Their work appears in journals such as Results in Mathematics, Mathematische Zeitschrift, Geometriae Dedicata, Proceedings of the American Mathematical Society and manuscripta mathematica.

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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