Title: Symmetry of Hypersurfaces and the Hopf Lemma
Speaker: Yanyan Li
Speaker Info: Rutgers University
Brief Description:
Special Note:
Abstract:
A classical theorem of A.D. Alexandrov asserts that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere. We give exposition to results on symmetry properties of hypersurfaces with ordered mean curvature and associated variations of the Hopf Lemma. Some open problems will be discussed.Date: Monday, October 30, 2023