Richard Schoen

Richard Melvin Schoen (pronounced Schejn; born October 23, 1950 in Celina, Ohio ) is an American mathematician who is engaged in global analysis and differential geometry.

Schoen received his doctorate in 1977 at Stanford University in Leon Simon, and Shing -Tung Yau ( Existence and regularity theorem for some Geometric variational problem). After that, he was Assistant Professor at the Courant Institute of Mathematical Sciences of New York University. 1979/80 he was at the Institute for Advanced Study. In the 1980s he was a professor at the University of California, Berkeley and then at Stanford University, where he is currently Robert M. Bass Professor of Humanities and Sciences.

1979 proved Schoen Yau with the positivity of energy in general relativity theory. An alternative proof was Edward Witten in 1981 and extensions were of various mathematicians and physicists ( such as Stephen Hawking, Gary Horowitz, Malcolm Perry ) is proved. In 1984, he solved the Yamabe problem for compact manifolds completely, building on the work of Yau and Thierry Aubin and Neil Trudinger. It states that any Riemann metric of a smooth, compact manifold with three or more dimensions conforms to a metric of constant scalar curvature. 2007 proved Simon Brendle and Richard Schoen the Differentiable Sphere Theorem. It states that a complete, simply connected n-dimensional Riemannian manifold whose sectional curvature ( Sectional Curvature ) K is greater than 1/ 4 and less than or equal to 1 (K = 1 corresponds to the sphere ), diffeomorphic to the n- sphere is ..

In 1983 he received a MacArthur Fellowship. In 1989 he received the Bôcher Memorial Prize. He was invited speaker at the ICM 1986 in Berkeley (New Developments in the theory of geometric partial differential equations ) and in 1983 in Warsaw (Minimal surfaces and positive scalar curvature ). In 2010 he gave a plenary lecture at the International Congress of Mathematicians in Hyderabad ( Riemannian manifolds of positive curvature ). He is a Fellow of the American Mathematical Society.