Hermann Karcher

3.7k citations
37 papers · 2.1k indexed · 1 hit paper · h-index 20

Hermann Karcher

36 papers receiving 1.8k citations

Hit Papers

Riemannian center of mass and mollifier smoothing6201977202619932009200400600

Peers

Hermann Karcher
Comparison fields: 5 of 114
  • Geometry and Topology 1.0k
  • Applied Mathematics 1.2k
  • Mathematical Physics 350
  • Computer Graphics and Computer-Aided Design 79
  • Astronomy and Astrophysics 309
Replace Manfredo do Carmo with:
Manfredo do Carmo Brazil
J. W. Bruce United Kingdom
Wilhelm Klingenberg Germany
Louis Auslander United States
Christopher B. Croke United States
Stefan Hildebrandt Germany
H. Hadwiger Switzerland
Feng Luo United States
P.E. Crouch United States
Alexander I. Bobenko Germany
Hermann Karcher relative to Manfredo do Carmo Brazil Manfredo do Carmo's profile →
Citations per field
00.5×2.8×
Manfredo do Carmo · 1×
Citations per year

Countries citing papers authored by Hermann Karcher

Since Specialization
Citations

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

Fields of papers citing papers by Hermann Karcher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 18 scholars most cited alongside Hermann Karcher, 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 Hermann Karcher Line = papers co-authored together Hermann Karcher links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 199917
2 19939
3 19883
4 198839
5 198883
6 198522
7
Frame flows on manifolds with pinched negative curvature
198413
8 19756
9 197449
10 197472
11 197122
12 19701
13 197012
14 19708
15 197019
16 196823
17 196811
18 19682
19
Klinische Röntgendiagnostik chirurgischer Erkrankungen des Skeletes
19590
20 19593

About Hermann Karcher

Hermann Karcher is a scholar working on Theoretical Computer Science, Geometry and Topology, Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics, having authored 37 papers that have together received 2.1k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (18 papers), Point processes and geometric inequalities (8 papers), Geometry and complex manifolds (7 papers), Geometric and Algebraic Topology (6 papers), Mathematical Dynamics and Fractals (5 papers), Advanced Mathematical Modeling in Engineering (4 papers), History and Theory of Mathematics (4 papers) and Mathematics and Applications (4 papers). The work is most often cited by research in Geometry and Topology (1.0k citations), Applied Mathematics (1.2k citations), Mathematical Physics (350 citations), Computer Graphics and Computer-Aided Design (79 citations) and Astronomy and Astrophysics (309 citations). Hermann Karcher has collaborated with scholars based in Germany, United States and Slovakia. Frequent co-authors include Karsten Grove, Ernst Heintze, Peter Buser, Dirk Ferus, Stefan Hildebrandt, Ernst A. Ruh, Jean-Pierre Bourguignon, Konrad Polthier, Jürgen Jost and David Hoffman. Their work appears in journals such as manuscripta mathematica, Mathematische Annalen, Commentarii Mathematici Helvetici, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

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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