Peter Gilkey

8.8k total citations · 3 hit papers
208 papers, 4.6k citations indexed

About

Peter Gilkey is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Peter Gilkey has authored 208 papers receiving a total of 4.6k indexed citations (citations by other indexed papers that have themselves been cited), including 145 papers in Applied Mathematics, 94 papers in Geometry and Topology and 91 papers in Mathematical Physics. Recurrent topics in Peter Gilkey's work include Geometric Analysis and Curvature Flows (124 papers), Geometry and complex manifolds (78 papers) and Advanced Differential Geometry Research (64 papers). Peter Gilkey is often cited by papers focused on Geometric Analysis and Curvature Flows (124 papers), Geometry and complex manifolds (78 papers) and Advanced Differential Geometry Research (64 papers). Peter Gilkey collaborates with scholars based in United States, Spain and South Korea. Peter Gilkey's co-authors include Andrew J. Hanson, Tohru Eguchi, Thomas Branson, Stana Nikčević, JeongHyeong Park, Miguel Brozos‐Vázquez, Eduardo García‐Río, M. van den Berg, Klaus Kirsten and Boris Botvinnik and has published in prestigious journals such as Physics Reports, Nuclear Physics B and Annals of Mathematics.

In The Last Decade

Peter Gilkey

198 papers receiving 4.1k citations

Hit Papers

Gravitation, gauge theories and differential geometry 1975 2026 1992 2009 1980 1995 1975 250 500 750 1000

Peers

Peter Gilkey
Comparison fields: 5 of 77
  • Applied Mathematics 1.8k
  • Nuclear and High Energy Physics 1.7k
  • Mathematical Physics 1.6k
  • Astronomy and Astrophysics 1.6k
  • Geometry and Topology 1.3k
Replace Nigel Hitchin with:
Nigel Hitchin United Kingdom
D. H. Phong United States
I. E. Segal United States
Karen Uhlenbeck United States
Raoul Bott United States
Philip Candelas United States
Boris Dubrovin Italy
André Lichnerowicz France
G. Marmo Italy
Alexander Varchenko United States
Nigel Hitchin United Kingdom View profile →
Citations per field, relative to Peter Gilkey
Peter Gilkey · 1×
Citations per year, relative to Peter Gilkey
Peter Gilkey · 1×

Countries citing papers authored by Peter Gilkey

Since Specialization
Citations

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

Fields of papers citing papers by Peter Gilkey

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Gilkey

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Gilkey. A scholar is included among the top collaborators of Peter Gilkey 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 Peter Gilkey. Peter Gilkey 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
# Work Indexed citations
1 0
2 1
3 7
4 1
5 4
6 3
7
The structure of the space of affine Kahler curvature tensors as a complex module
0
8 7
9 1
10 2
11 11
12
CONFORMALLY OSSERMAN MANIFOLDS AND CONFORMALLY COMPLEX SPACE FORMS
8
13
The Jordan normal form of higher order Osserman algebraic curvature tensors
1
14
Spinors, spectral geometry, and Riemannian submersions
10
15 18
16 5
17 16
18 7
19
On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant
7
20
Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian
61

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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