Analysis Aspects of Ricci Flow on Conical Surfaces  

作　　者：Hao YIN 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第5期807-857,共51页数学学报（英文版）

基　　金：Supported by NSFC(Grant Nos.11471300,11971451 and 2020YFA0713102)。

摘　　要：In this paper,we establish a framework for the analysis of linear parabolic equations on conical surfaces and use them to study the conical Ricci flow.In particular,we prove the long time existence of the conical Ricci flow for general cone angle and show that this solution has the optimal regularity,namely,the time derivatives of the conformal factor are bounded and for each fixed time,the conformal factor has an explicit asymptotic expansion near the cone points.

关 键 词：Ricci flow conical singularity 

分 类 号：O186.11[理学—数学]