Lower bounds on Ricci curvature and quantitative behavior of singular sets
主 题: Lower bounds on Ricci curvature and quantitative behavior of singular sets
报告人: Wenshuai Jiang(PKU)
时 间: 2015-12-15 10:10 - 2015-12-15 12:00
地 点: Room 29, Quan Zhai, BICMR
In this talk, we will discuss Cheeger-Naber's paper on quantitative behavior of singular sets. We define the k-th effective singular stratum S^k_{\eta,r} and then estimate their volume. The main tools are a cone-splitting argument and a new covering argument. As a consequence, we can estimate the curvature L^p-norm (p<2) for Einstein manifolds.
