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学术科研

Geometry & Topology Seminar

Boundary regularity for 4-dimensional conformally compact Einstein manifolds

演讲者：靳晓尚（北京大学）
时间：2018-12-07 10:00-11:00
地点：慧园3栋 415报告厅

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 my recent work on 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}.