学术报告(靳晓尚11.12)

Boundary regularity for 4-dimensional conformally compact Einstein manifolds

发布人:杨晓静 发布日期:2019-10-31
主题
Boundary regularity for 4-dimensional conformally compact Einstein manifolds
活动时间
-
活动地址
数学学院 新数学楼415室
主讲人
靳晓尚博士 北京大学

时间:2019年11月12日 下午4:00-5:00

摘要:The study of conformally compact Einstein manifolds is a fundamental problem in both geometry analysis and theoretical physics. In this talk, I will introduce some basic facts of conformally compact Einstein manifolds, including the definition, examples, basic properties and some problems. Then I will talk about the boundary regularity of 4-dimensional conformally compact Einstein manifolds. We show that, a C^{2,σ} conformally compact Einstein manifold is in fact C^{m,α} compact if its boundary metric is in C^{m,α}