Home > Academic Announcements > (Nov. 12) Boundary regularity for 4-dimensional conformally compact Einstein manifolds

(Nov. 12) Boundary regularity for 4-dimensional conformally compact Einstein manifolds

Last updated :2019-11-06

Topic: Boundary regularity for 4-dimensional conformally compact Einstein manifolds
Speaker: Dr. JIN Xiaoshang
(Peking University)
Time: 16:00-17:00, Tuesday, November 12, 2019
Venue: Room 415, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
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}