报告人：胥世成教授

报告时间：2024年11月23日（周六）上午10:00-11:00

腾讯会议：691757946，密码：123456

报告题目：Rigidity for Einstein manifolds under bounded covering geometry

报告人简介：胥世成，首都师范大学教授，博士生导师。主要研究领域为度量黎曼几何。在J. Diff. Geom., Adv. Math., Trans. Amer. Math. Soc.等国际高水平数学期刊上发表学术论文多篇。多次主持国家自然科学基金项目等。

报告摘要：We prove three rigidity results for Einstein manifolds with bounded covering geometry.  (1) any almost flat manifold (M,g) must be flat if it is Einstein, i.e. Ric=λg for some real number λ. (2) A compact Einstein manifolds with a non-vanishing and almost maximal volume entropy is hyperbolic. (3) A compact Einstein manifold admitting a uniform local rewinding almost maximal volume is isometric to a space form. This is a joint work with Cuifang Si.