Frank W. Warner

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Frank Wilson Warner III (born March 2, 1938 in Pittsfield , Massachusetts ) is an American mathematician who deals with differential geometry .

Warner graduated from Pennsylvania State University with a bachelor's degree in 1959 and received his doctorate in 1963 from the Massachusetts Institute of Technology under Isadore M. Singer ( Conjugate Locus of a Riemannian Manifold ). In 1965 he became Assistant Professor at the University of California, Berkeley , 1968 Associate Professor at the University of Pennsylvania and 1973 Professor. From 1995 to 1997 he was Dean of the School of Arts and Sciences there . In 2000 he retired.

In the 1970s he and Jerry Kazdan made significant contributions to the theory of Riemannian manifolds with prescribed scalar curvature. Both proved in 1975 that any smooth function can be realized as a scalar curvature if and only if it becomes negative somewhere on the manifold. Further research concerned conjugate points (see Jacobi field ) Riemannian manifolds.

In 1976 he was a Guggenheim Fellow and in 1994 he became a Fellow of the American Association for the Advancement of Science .

Fonts

  • Foundations of differentiable manifolds and Lie groups, Scott, Foresman and Co., 1971
  • The conjugate locus of an Riemannian manifold, American Journal of Mathematics, Volume 87, 1965, p. 575
  • with Kazdan: Scalar curvature and conformal deformation of Riemannian structure, Journal of Differential Geometry, 10 (1975). 113-134
  • with Kazdan: Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvature, Annals of Mathematics, Volume 101, 1975, pp. 317-331

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Warner, Frank W.
ALTERNATIVE NAMES Warner, Frank Wilson III
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH March 2, 1938
PLACE OF BIRTH Pittsfield , Massachusetts