学术报告(黄少创 1.2)

Instantaneously complete Chern-Ricci flow and K\"ahler-Einstein metric

发布人:周妍 发布日期:2018-12-18
主题
Instantaneously complete Chern-Ricci flow and K\"ahler-Einstein metric
活动时间
-
活动地址
数学楼416
主讲人
黄少创 博士后(清华大学)

Abstract

 In this talk, we study the Chern-Ricci flow on complete non-compact Hermitian manifold with "negative first Chern class" (We will give the definition in the talk). Under certain general conditions (the initial metric may be incomplete or with unbounded curvature or even only an nonnegative Hermitian form), we prove the flow can be instantaneously complete and has a long-time solution converging to a complete negative Kahler-Einstein metric. In general, we can not conclude the flow tends to the initial metric smoothly and locally, we also discuss conditions so that this is true. This work is joint with Man-Chun Lee and Professor Luen-Fai Tam.

 

数学学院

2018年12月18日