Peter Petersen

3.1k citations
56 papers · 1.6k indexed · 1 hit paper · h-index 16

Impact in

    • Geometry and complex manifolds
    • Geometric and Algebraic Topology
    • Geometric Analysis and Curvature Flows
    • Point processes and geometric inequalities
    • Nonlinear Partial Differential Equations

Papers in

    • Geometry and complex manifolds 25
    • Geometric and Algebraic Topology 10
    • Mathematics and Applications 3
    • Geometric Analysis and Curvature Flows 37
    • Point processes and geometric inequalities 6

Peter Petersen

53 papers receiving 1.4k citations

Hit Papers

Riemannian Geometry 1998 · 542 citations
5421998202620072016100200300400500

Peers

Peter Petersen
Comparison fields: 5 of 81
  • Geometry and Topology 1.1k
  • Applied Mathematics 1.4k
  • Astronomy and Astrophysics 669
  • Mathematical Physics 289
  • Computational Theory and Mathematics 119
Replace J.-H. Eschenburg with:
J.-H. Eschenburg Germany
Detlef Gromoll United States
Arthur L. Besse United States
Karsten Grove United States
Tobias Colding United States
Bennett Chow United States
Franki Dillen Belgium
Masaaki Umehara Japan
Wu-Yi Hsiang United States
Christopher B. Croke United States
Peter Petersen relative to J.-H. Eschenburg Germany J.-H. Eschenburg's profile →
Citations per field
00.5×4.9×
J.-H. Eschenburg · 1×
Citations per year

Countries citing papers authored by Peter Petersen

Since Specialization
Citations

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

Fields of papers citing papers by Peter Petersen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 15 scholars most cited alongside Peter Petersen, 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 Peter Petersen Line = papers co-authored together Peter Petersen links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20237
2 20225
3 20216
4 20202
5 201268
6
The Space of Virtual Solutions to the Warped Product Einstein Equation
20115
7 2009150
8 200050
9 199841
10 19951
11 199334
12 199311
13 19911
14 199015
15 198915
16 198883
17
The Danes in America
19871
18
Fruchtbarkeit und die Freiheit zum Kinde
19790
19 19770
20 19743

About Peter Petersen

Peter Petersen is a scholar working on Geometry and Topology, Applied Mathematics, Mathematical Physics, Astronomy and Astrophysics and Algebra and Number Theory, having authored 56 papers that have together received 1.6k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (37 papers), Geometry and complex manifolds (25 papers), Advanced Differential Geometry Research (19 papers), Geometric and Algebraic Topology (10 papers), Homotopy and Cohomology in Algebraic Topology (7 papers), Point processes and geometric inequalities (6 papers), Mathematical Dynamics and Fractals (4 papers) and Mathematics and Applications (3 papers). The work is most often cited by research in Geometry and Topology (1.1k citations), Applied Mathematics (1.4k citations), Astronomy and Astrophysics (669 citations), Mathematical Physics (289 citations) and Computational Theory and Mathematics (119 citations). Peter Petersen has collaborated with scholars based in United States, Germany and Denmark. Frequent co-authors include William Wylie, Karsten Grove, Guofang Wei, Shunhui Zhu, Peter Perry, Robert Greene, Terence Tao, Michael Jablonski, Robert C. Brooks and Robert Brooks. Their work appears in journals such as Journal für die reine und angewandte Mathematik (Crelles Journal), Journal of Geometric Analysis, Inventiones mathematicae, Journal of American History and Acta 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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