Abstract
The classical Minkowski inequality implies the volume of a bounded convex domain in the Euclidean space is bounded by an integral of the mean curvature of its boundary. In this thesis, we obtain a version of such inequality without convexity assumptions for complete manifolds satisfying a weighted Poincare inequality. Additionally, we show that there is no embedded compact minimal surfaces on such manifolds.
https://meet.google.com/thm-epns-rwt
2024-06-06 10:00 ~ 2024-06-06 11:00
邱維毅 先生 (國立清華大學數學系)
Room 723, General Building III