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Symmetry of Hypersurfaces and the Hopf Lemma

Prof. Yanyan LI
Date & Time
13 Dec 2023 (Wed) | 04:00 PM - 05:00 PM
Y5-302, Yeung Kin Man Academic Building


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.