Hermann Karcher
Impact in
- Geometry and Topology top 0.5%
- Geometry and complex manifolds
- Geometric and Algebraic Topology
- Morphological variations and asymmetry
- Applied Mathematics top 0.2%
- Geometric Analysis and Curvature Flows
- Point processes and geometric inequalities
- Nonlinear Partial Differential Equations
Papers in
-
- Geometric Analysis and Curvature Flows 20
- Point processes and geometric inequalities 8
- Nonlinear Partial Differential Equations 4
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- Geometric and Algebraic Topology 9
- Geometry and complex manifolds 8
- Co-authors
- Karsten Grove (4 shared papers)Ernst Heintze (1 shared paper)Peter Buser (3 shared papers)Dirk Ferus (2 shared papers)Stefan Hildebrandt (1 shared paper)Ernst A. Ruh (3 shared papers)Konrad Polthier (1 shared paper)Jean-Pierre Bourguignon (1 shared paper)
- Journals
- manuscripta mathematica (5 papers)Mathematische Annalen (4 papers)Commentarii Mathematici Helvetici (4 papers)Communications on Pure and Applied Mathematics (3 papers)Transactions of the American Mathematical Society (2 papers)
- Partner nations
- GermanyUnited StatesDenmark
In The Last Decade
Hermann Karcher
39 papers receiving 2.1k citations
Hermann Karcher's Hit Papers
Peers
Comparison fields: 5 of 119
- Geometry and Topology 1.3k
- Applied Mathematics 1.4k
- Mathematical Physics 399
- Computer Graphics and Computer-Aided Design 98
- Astronomy and Astrophysics 367
Countries citing papers authored by Hermann Karcher
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
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-authors
The 20 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.
All Works
Showing the 20 most-cited of 43 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Riemannian center of mass and mollifier smoothing Hit paper breakdown → | 1977 | 740 |
| 2 | 1981 | 177 | |
| 3 | 1978 | 171 | |
| 4 | 1989 | 159 | |
| 5 | Gromov's almost flat manifolds | 1981 | 148 |
| 6 | 2003 | 112 | |
| 7 | 1973 | 98 | |
| 8 | 1988 | 92 | |
| 9 | 1996 | 85 | |
| 10 | 1978 | 83 | |
| 11 | 1974 | 78 | |
| 12 | 1997 | 74 | |
| 13 | 1982 | 71 | |
| 14 | 1974 | 52 | |
| 15 | 1988 | 45 | |
| 16 | 1984 | 36 | |
| 17 | 1971 | 26 | |
| 18 | 1993 | 26 | |
| 19 | 1982 | 25 | |
| 20 | 1985 | 25 |
About Hermann Karcher
Hermann Karcher is a scholar working on Applied Mathematics, Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics and Biomedical Engineering, having authored 43 papers that have together received 2.5k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (20 papers), Geometric and Algebraic Topology (9 papers), Point processes and geometric inequalities (8 papers), Geometry and complex manifolds (8 papers), Mathematical Dynamics and Fractals (6 papers), History and Theory of Mathematics (4 papers), Nonlinear Partial Differential Equations (4 papers) and Advanced Mathematical Modeling in Engineering (4 papers). The work is most often cited by research in Geometry and Topology (1.3k citations), Applied Mathematics (1.4k citations), Mathematical Physics (399 citations), Computer Graphics and Computer-Aided Design (98 citations) and Astronomy and Astrophysics (367 citations). Hermann Karcher has collaborated with scholars based in Germany, United States and Denmark. Frequent co-authors include Karsten Grove, Ernst Heintze, Peter Buser, Dirk Ferus, Stefan Hildebrandt, Ernst A. Ruh, Konrad Polthier, Jean-Pierre Bourguignon, David Hoffman and Jürgen Jost. 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.