报告题目：

On pinching problem for submanifolds inspired by Yau rigidity theorem

报 告 人：

Juan-Ru Gu (Zhejiang University of Technology)

报告时间：

2018年09月05日 10:00--11:00

报告地点：

理学院东北楼四楼报告厅（404）

报告摘要：

In this talk, I will discuss the rigidity problem for compact submanifolds under sectional curvature pinching condition. Inspired by the well-known Yau rigidity theorem, we first study the geometric rigidity of compact submanifolds with parallel mean curvature in a space form. Then, we investigate the sphere theorems for general submanifolds in a space form, and obtain some sharp results. At last, we discuss the rigidity of compact submanifolds with parallel mean curvature in pinched manifolds, and prove some classification theorems. This is a joint work with Prof. Hongwei Xu and Dr. Li Lei.