Speaker：Jiabin Yin (Guangxi Normal University)

Time：2025-4-8, 10:00

Location：Conference Room S206 at Experiment Building at Haiyun Campus

Abstract:

In this talk, we establish a Willmore-type inequality for closed hypersurfaces in a complete Riemannian manifold of dimension n + 1 with Ric ≥ −ng. It extends the classic result of Argostianiani, Fogagnolo and Mazzieri into the Riemannian manifold of negative curvature. As an application, we construct a new Willmore-type inequality for closed hypersurfaces in hyperbolic space and obtain the characterization of geodesic sphere. This is a jiont work with Professor Xiaoshang Jin.