Inradius collapsed manifolds

讲座时间 Datetime: 2022年 9月17日，星期六，10:00-12:00

地点 Venue: 腾讯线上会议：569-806-086

主持人 Host：李希宁

报告人 Speaker: 张志朗

单位 Affiliation: 佛山科技学院

报告摘要 Abstract:

In this talk, we will discuss some structure problems related to collapsed manifolds with boundary, where we assume a lower sectional curvature bound, two side bounds on the second fundamental forms of boundaries and upper diameter bound. Our main concern is the case when inradii of manifolds converge to zero. This is a typical case of collapsing manifolds with boundary. We determine the limit spaces of inradius collapsed manifolds as Alexandrov spaces with curvature uniformly bounded below.  The topological structure for inradius collapsed manifolds whose limit space is an almost regular space are characterized. This talk is based on some recent joint  work with Prof. Takao Yamaguchi.