Frank Wilson Warner

Frank Wilson Warner's AcademicInfluence.com Rankings

Frank Wilson Warner

Mathematics

#1215

World Rank

#2035

Historical Rank

#511

USA Rank

Measure Theory

#3027

World Rank

#3595

Historical Rank

#878

USA Rank

mathematics Degrees

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Mathematics

Why Is Frank Wilson Warner Influential?

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According to Wikipedia, Frank Wilson Warner III is an American mathematician, specializing in differential geometry. Education and career Warner graduated in 1959 with a bachelor's degree from Pennsylvania State University and in 1963 with a Ph.D. in mathematics from the Massachusetts Institute of Technology. His thesis, written under the supervision of Isadore M. Singer, is entitled Conjugate Locus of a Riemannian Manifold. At the University of California, Berkeley, Warner was an assistant professor from 1965 to 1968. At the University of Pennsylvania, he became an associate professor in 1968 and a full professor in 1973. He was from 1995 to 1997 the deputy dean of the University of Pennsylvania School of Arts and Sciences. In 2000, he retired as professor emeritus.

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Frank Wilson Warner's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Foundations of Differentiable Manifolds and Lie Groups (1971) (2145)
Curvature Functions for Compact 2-Manifolds (1974) (575)
Remarks on some quasilinear elliptic equations (1975) (384)
Scalar curvature and conformal deformation of Riemannian structure (1975) (337)
Existence and Conformal Deformation of Metrics With Prescribed Gaussian and Scalar Curvatures (1975) (286)
Rigidity and Convexity of Hypersurfaces in Spheres (1970) (117)
Curvature Functions for Open 2-Manifolds (1974) (107)
THE CONJUGATE LOCUS OF A RIEMANNIAN MANIFOLD. (1965) (100)
Great circle fibrations of the three-sphere (1983) (90)
Extensions of the Rauch comparison theorem to submanifolds (1966) (88)
A direct approach to the determination of Gaussian and scalar curvature functions (1975) (53)
Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics (1983) (40)
Conjugate Loci of Constant Order (1967) (38)
Fibrations of spheres by parallel great spheres and Berger's rigidity theorem (1987) (15)
Integrability conditions for $\Delta u = k - Ke^{\alpha u}$ with applications to Riemannian geometry (1971) (13)
Binding of platinum to human transferrin. (1978) (12)
Electron paramagnetic resonance investigation of high-spin iron (III) in cancer. (1978) (11)
Surfaces of revolution with monotonic increasing curvature and an application to the equation Δ=1-^{2} on ² (1972) (11)
Curvature forms for 2-manifolds (1970) (11)
Curvature functions for 2-manifolds with negative Euler characteristic (1972) (8)
Shorter Notes: Curvature Forms for 2-Manifolds (1970) (5)
A combined polynomial regression and nonderivative search technique for EPR spectrum analysis (1976) (1)
Tensors and Differential Forms (1983) (0)
ON SPIKES ON LINES FOR A NEUMANN SUPERLINEAR AMBROSETTI-PRODI TYPE PROBLEM (2020) (0)
EXTENSION OF THE RAUCH COMPARISON (2016) (0)
Solutions of Exercises in ” Foundations of Differentiable Manifolds and Lie Groups ” (2013) (0)
Integration on Manifolds (1983) (0)
Sheaves, Cohomology, and the de Rham Theorem (1983) (0)
The Hodge Theorem (1983) (0)

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