F. W. Warner

4.9k total citations · 2 hit papers
20 papers, 2.7k citations indexed

About

F. W. Warner is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, F. W. Warner has authored 20 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 7 papers in Geometry and Topology and 5 papers in Mathematical Physics. Recurrent topics in F. W. Warner's work include Geometric Analysis and Curvature Flows (13 papers), Elasticity and Material Modeling (4 papers) and Geometric and Algebraic Topology (4 papers). F. W. Warner is often cited by papers focused on Geometric Analysis and Curvature Flows (13 papers), Elasticity and Material Modeling (4 papers) and Geometric and Algebraic Topology (4 papers). F. W. Warner collaborates with scholars based in United States. F. W. Warner's co-authors include Jerry L. Kazdan, Herman Gluck, Manfredo P. do Carmo, C. T. Yang, Nolan R. Wallach and Wolfgang Ziller and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

F. W. Warner

20 papers receiving 2.2k citations

Hit Papers

Foundations of Differentiable Manifolds and Lie Groups 1974 2026 1991 2008 1983 1974 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Foundations of Differentiable Manifolds and Lie Groups
    1983 920 citations F. W. Warner Graduate texts in mathematics profile →
  2. Curvature Functions for Compact 2-Manifolds
    1974 349 citations Jerry L. Kazdan, F. W. Warner Annals of Mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
F. W. Warner United States 14 1.6k 934 840 717 399 20 2.7k
James Eells United Kingdom 25 1.9k 1.2× 1.8k 1.9× 885 1.1× 496 0.7× 612 1.5× 61 3.0k
Richard S. Palais United States 28 2.0k 1.2× 1.9k 2.1× 2.0k 2.3× 851 1.2× 614 1.5× 64 4.4k
Michael Spivak United States 5 731 0.5× 677 0.7× 394 0.5× 276 0.4× 335 0.8× 9 2.4k
Wilhelm Klingenberg Germany 23 1.3k 0.8× 1.2k 1.3× 701 0.8× 268 0.4× 534 1.3× 90 2.5k
Marcel Berger France 21 1.3k 0.8× 1.2k 1.3× 594 0.7× 280 0.4× 584 1.5× 49 2.4k
Herbert Fédérer United States 17 2.1k 1.3× 1.3k 1.4× 968 1.2× 928 1.3× 136 0.3× 38 3.3k
François Trèves United States 27 2.0k 1.2× 761 0.8× 1.7k 2.0× 584 0.8× 81 0.2× 96 3.2k
Lars V. Ahlfors United States 24 2.8k 1.7× 2.9k 3.1× 1.6k 1.9× 750 1.0× 96 0.2× 49 5.2k
V. S. Varadarajan United States 23 734 0.5× 1.2k 1.3× 1.8k 2.1× 690 1.0× 151 0.4× 81 3.5k
Karen Uhlenbeck United States 27 2.8k 1.7× 2.2k 2.3× 1.8k 2.2× 1.1k 1.6× 391 1.0× 54 4.5k

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-authorship network of co-authors of F. W. Warner

This figure shows the co-authorship network connecting the top 25 collaborators of F. W. Warner. A scholar is included among the top collaborators of F. W. Warner 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 F. W. Warner. F. W. Warner 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
1.
Gluck, Herman, F. W. Warner, & Wolfgang Ziller. (1987). Fibrations of spheres by parallel great spheres and Berger's rigidity theorem. Annals of Global Analysis and Geometry. 5(1). 53–82. 8 indexed citations
2.
Gluck, Herman & F. W. Warner. (1983). Great circle fibrations of the three-sphere. Duke Mathematical Journal. 50(1). 48 indexed citations
3.
Warner, F. W.. (1983). Foundations of Differentiable Manifolds and Lie Groups. Graduate texts in mathematics. 920 indexed citations breakdown →
4.
Gluck, Herman, F. W. Warner, & C. T. Yang. (1983). Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics. Duke Mathematical Journal. 50(4). 25 indexed citations
5.
Kazdan, Jerry L. & F. W. Warner. (1975). Remarks on some quasilinear elliptic equations. Communications on Pure and Applied Mathematics. 28(5). 567–597. 288 indexed citations
6.
Kazdan, Jerry L. & F. W. Warner. (1975). A direct approach to the determination of Gaussian and scalar curvature functions. Inventiones mathematicae. 28(3). 227–230. 34 indexed citations
7.
Kazdan, Jerry L. & F. W. Warner. (1975). Scalar curvature and conformal deformation of Riemannian structure. Journal of Differential Geometry. 10(1). 199 indexed citations
8.
Kazdan, Jerry L. & F. W. Warner. (1975). Existence and Conformal Deformation of Metrics With Prescribed Gaussian and Scalar Curvatures. Annals of Mathematics. 101(2). 317–317. 176 indexed citations
9.
Kazdan, Jerry L. & F. W. Warner. (1974). Curvature Functions for Compact 2-Manifolds. Annals of Mathematics. 99(1). 14–14. 349 indexed citations breakdown →
10.
Kazdan, Jerry L. & F. W. Warner. (1974). Curvature Functions for Open 2-Manifolds. Annals of Mathematics. 99(2). 203–203. 75 indexed citations
11.
Warner, F. W., et al.. (1972). Foundations of Differentiable Manifolds and Lie Groups.. American Mathematical Monthly. 79(7). 792–792. 351 indexed citations
12.
Kazdan, Jerry L. & F. W. Warner. (1972). Surfaces of revolution with monotonic increasing curvature and an application to the equation $\Delta u=1-K e^{2u}$ on $S^{2}$. Proceedings of the American Mathematical Society. 32(1). 139–139. 3 indexed citations
13.
Kazdan, Jerry L. & F. W. Warner. (1972). Curvature functions for 2-manifolds with negative Euler characteristic. Bulletin of the American Mathematical Society. 78(4). 570–574. 8 indexed citations
14.
Kazdan, Jerry L. & F. W. Warner. (1971). Integrability conditions for $\Delta u = k - Ke^{\alpha u}$ with applications to Riemannian geometry. Bulletin of the American Mathematical Society. 77(5). 819–824. 10 indexed citations
15.
Wallach, Nolan R. & F. W. Warner. (1970). Curvature forms for 2-manifolds. Proceedings of the American Mathematical Society. 25(3). 712–712. 7 indexed citations
16.
Wallach, Nolan R. & F. W. Warner. (1970). Shorter Notes: Curvature Forms for 2-Manifolds. Proceedings of the American Mathematical Society. 25(3). 712–712. 4 indexed citations
17.
Carmo, Manfredo P. do & F. W. Warner. (1970). Rigidity and convexity of hypersurfaces in spheres. Journal of Differential Geometry. 4(2). 62 indexed citations
18.
Warner, F. W.. (1967). Conjugate Loci of Constant Order. Annals of Mathematics. 86(1). 192–192. 31 indexed citations
19.
Warner, F. W.. (1966). Extensions of the Rauch comparison theorem to submanifolds. Transactions of the American Mathematical Society. 122(2). 341–356. 56 indexed citations
20.
Warner, F. W.. (1965). The Conjugate Locus of a Riemannian Manifold. American Journal of Mathematics. 87(3). 575–575. 67 indexed citations

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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