Home | Sitemap | Contact | Chinese | CAS
Search: 
About AMSS Research People International Cooperation News Societies & Journals Papers Resources Education & Training Join Us Links
Research
Location: Home >  Research >  Colloquia & Seminars
(2019.6.17)Prof. Miao Pengzi:Scalar curvature and boundary mean curvature
Author:
ArticleSource:
Update time: 2019-06-13
Close
A A A
Print
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Miao Pengzi,University of Miami, USA

Inviter:  
Title:
Scalar curvature and boundary mean curvature
Time & Venue:
2019.6.17 10:00-11:00 N820
Abstract:

Scalar curvature is the simplest curvature invariant in Riemannian geometry. In general relativity, it relates to matter distribution along spacelike hypersurfaces in spacetimes. If the underlying manifold is noncompact, fundamental results on manifolds with nonnegative scalar curvature include the Riemannian positive mass theorem and the Riemannian Penrose inequality. In this talk, we discuss implications of those theorems to compact manifolds with boundary. More precisely, we seek to understand how nonnegative scalar curvature of a compact manifold influences the mean curvature of its boundary surface.

 

 

Appendix:
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn