Harry Rauch
Harry Ernest Rauch (born November 9, 1925 in Trenton , New Jersey , † June 18, 1979 in White Plains , New York ) was an American mathematician who dealt with function theory and differential geometry.
Rauch received his doctorate in 1948 from Princeton University under Salomon Bochner (Generalizations of Some Classic Theorems to the Case of Functions of Several Variables). From 1949 to 1951 he was a member of the Institute for Advanced Study . He was a professor at Yeshiva University in the 1960s and at the City University of New York from the mid-1970s . He mainly dealt with differential geometry ( geodesics on surfaces), the theory of Riemann surfaces and theta functions.
In the early 1950s he made fundamental contributions to the pinching problem in differential geometry. For the case of positive section curvature and simply connected manifolds, he showed that if the section curvature does not deviate too much from the value K = 1, then these are homeomorphic to the sphere (the case of constant section curvature K = 1). This was an important step for spheres set of Wilhelm Klingenberg and Marcel Berger late 1950s and early 1960s.
His PhD students include Hershel Farkas and Isaac Chavel .
Fonts
- with Hershel M. Farkas : Theta functions with applications to Riemann Surfaces. Williams and Wilkins, Baltimore MD 1974, ISBN 0-683-07196-3 .
- with Aaron Lebowitz: Elliptic functions, theta functions, and Riemann Surfaces. Williams and Wilkins, Baltimore MD 1973.
- with William Zlot, Matthew Graber: Elementary Geometry. Williams and Wilkins, Baltimore MD 1973 (Reprint. Krieger, Huntington NY 1979, ISBN 0-88275-820-9 ).
- Geodesics and Curvature in Differential Geometry in the Large (= Graduate School of Mathematical Sciences. 1). Yeshiva University, New York NY 1959.
literature
- Hershel M. Farkas , Isaac Chavel (Ed.): Differential geometry and complex analysis. A volume dedicated to the memory of Harry Ernest Rauch. Springer, Berlin et al. 1985, ISBN 3-540-13543-X .
Web links
- Harry Ernest Rauch at the Mathematics Genealogy Project
| personal data | |
|---|---|
| SURNAME | Smoke, Harry |
| ALTERNATIVE NAMES | Rauch, Harry Ernest |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | November 9, 1925 |
| PLACE OF BIRTH | Trenton, New Jersey |
| DATE OF DEATH | June 18, 1979 |
| Place of death | White Plains (New York) |