F. W. Warner

4.9k citations
20 papers · 2.7k · 2 hit papers · h-index 14

Impact in

    • Geometric Analysis and Curvature Flows
    • Nonlinear Partial Differential Equations
    • Geometry and complex manifolds
    • Geometric and Algebraic Topology

Papers in

    • Geometric Analysis and Curvature Flows 13
    • Nonlinear Partial Differential Equations 3
    • Point processes and geometric inequalities 3
    • Algebraic and Geometric Analysis 2
    • Geometric and Algebraic Topology 4
    • Mathematics and Applications 3

F. W. Warner

20 papers receiving 2.2k citations

F. W. Warner's Hit Papers

Foundations of Differentiable Manifolds and Lie Groups 1983 · 920 citations
9200+17+34Years since publication250500750

Peers

F. W. Warner
Comparison fields: 5 of 90
  • Applied Mathematics 1.6k
  • Geometry and Topology 934
  • Mathematical Physics 840
  • Computational Theory and Mathematics 717
  • Algebra and Number Theory 168
Replace James Eells with:
James Eells United Kingdom
Richard S. Palais United States
Lipman Bers United States
Wilhelm Klingenberg Germany
Herbert Fédérer United States
Marcel Berger France
Michael Spivak United States
François Trèves United States
Hassler Whitney United States
Karen Uhlenbeck United States
F. W. Warner relative to James Eells United Kingdom James Eells's profile →
Citations per field
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James Eells · 1×
Citations per year

Countries citing papers authored by F. W. Warner

Since Specialization
Citations

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

Fields of papers citing papers by F. W. Warner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by F. W. Warner. 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 F. W. Warner. The network helps show where F. W. Warner may publish in the future.

Co-authors

The 6 scholars most cited alongside F. W. Warner, 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 F. W. Warner Line = papers co-authored together F. W. Warner links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1
Foundations of Differentiable Manifolds and Lie Groups
Hit paper breakdown →
1983920
2 1972351
3
Curvature Functions for Compact 2-Manifolds
Hit paper breakdown →
1974349
4 1975288
5 1975199
6 1975176
7 197475
8 196567
9 197062
10 196656
11 198348
12 197534
13 196731
14 198325
15 197110
16 19878
17 19728
18 19707
19 19704
20 19723

About F. W. Warner

F. W. Warner is a scholar working on Applied Mathematics, Geometry and Topology, Mathematical Physics, Biomedical Engineering and Computational Theory and Mathematics, having authored 20 papers that have together received 2.7k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (13 papers), Elasticity and Material Modeling (4 papers), Geometric and Algebraic Topology (4 papers), Nonlinear Partial Differential Equations (3 papers), Homotopy and Cohomology in Algebraic Topology (3 papers), Mathematics and Applications (3 papers), Point processes and geometric inequalities (3 papers) and Algebraic and Geometric Analysis (2 papers). The work is most often cited by research in Applied Mathematics (1.6k citations), Geometry and Topology (934 citations), Mathematical Physics (840 citations), Computational Theory and Mathematics (717 citations) and Algebra and Number Theory (168 citations). F. W. Warner has collaborated with scholars based in United States. Frequent co-authors include Jerry L. Kazdan, Herman Gluck, Manfredo P. do Carmo, C. T. Yang, Nolan R. Wallach and Wolfgang Ziller. Their work appears in journals such as Annals of Mathematics, Proceedings of the American Mathematical Society, Duke Mathematical Journal, Journal of Differential Geometry and American Journal of Mathematics.

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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