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 worked on function theory and differential geometry.

Smoke his doctorate in 1948 from Princeton University with Salomon Bochner ( Generalizations of Some Classic theorem to the case of Functions of Several Variables ). 1949 to 1951 he was a member of the Institute for Advanced Study. He was in the 1960s, a professor at Yeshiva University, and from the mid-1970s at the City University of New York. It dealt primarily with differential geometry ( geodesics on surfaces ), the theory of Riemann surfaces and theta functions.

In the early 1950s, he made seminal contributions to our Pinching problem in differential geometry. For the case of positive sectional curvature and simply related manifolds, he showed that if the sectional curvature does not deviate too much from the value K = 1, these are homeomorphic to the sphere ( the case of constant sectional curvature K = 1). This was an important step for spheres set of Wilhelm Klingenberg and Marcel Berger in the late 1950s and early 1960s.

His doctoral Hershel Farkas heard.

Writings

• With Hershel M. Farkas: Theta functions with applications to Riemann surfaces, Williams and Wilkins, Baltimore 1974
• Aaron Lebowitz: Elliptic functions, theta functions and Riemann surfaces, Williams and Wilkins, 1973
• Geodesics and Curvature in Differential Geometry in the Large, Yeshiva University 1959