F. W. Warner

5.0k citations
25 papers · 3.0k · 1 hit paper · h-index 15

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 14
    • Point processes and geometric inequalities 4
    • Algebraic and Geometric Analysis 3
    • Nonlinear Partial Differential Equations 3
    • Geometric and Algebraic Topology 4
    • Mathematics and Applications 4

F. W. Warner

24 papers receiving 2.5k citations

F. W. Warner's Hit Papers

Foundations of Differentiable Manifolds and Lie Groups 1983 · 1.0k citations
1.0k0+14+28Years since publication2505007501000

Peers

F. W. Warner
Comparison fields: 5 of 93
  • Applied Mathematics 1.8k
  • Geometry and Topology 1.1k
  • Mathematical Physics 912
  • Computational Theory and Mathematics 784
  • Algebra and Number Theory 183
Replace James Eells with:
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Marcel Berger France
Richard S. Palais United States
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Herbert Fédérer United States
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Wilhelm Klingenberg Germany
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Andrei Agrachev Italy
Richard Melrose United States
F. W. Warner relative to James Eells United Kingdom James Eells's profile →
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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

Showing the 20 most-cited of 25 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Foundations of Differentiable Manifolds and Lie Groups
Hit paper breakdown →
19831045
2 1972389
3 1974374
4 1975329
5 1975221
6 1975193
7 197480
8 196570
9 197067
10 196657
11 198350
12 197540
13 196732
14 198327
15 201222
16 197112
17 19729
18 19878
19 19707
20 19705

About F. W. Warner

F. W. Warner is a scholar working on Applied Mathematics, Geometry and Topology, Mathematical Physics, Biomedical Engineering and Computational Mechanics, having authored 25 papers that have together received 3.0k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (14 papers), Point processes and geometric inequalities (4 papers), Geometric and Algebraic Topology (4 papers), Elasticity and Material Modeling (4 papers), Mathematics and Applications (4 papers), Algebraic and Geometric Analysis (3 papers), Nonlinear Partial Differential Equations (3 papers) and Advanced Numerical Analysis Techniques (3 papers). The work is most often cited by research in Applied Mathematics (1.8k citations), Geometry and Topology (1.1k citations), Mathematical Physics (912 citations), Computational Theory and Mathematics (784 citations) and Algebra and Number Theory (183 citations). F. W. Warner has collaborated with scholars based in United States. Frequent co-authors include Jerry L. Kazdan, Manfredo P. do Carmo, Herman Gluck, 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 Communications on Pure and Applied 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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