Boundary behaviors and scalar curvature of compact manifolds
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper, by modifying the arguments in \cite{WY}, we get some rigidity theorems on compact manifolds with nonempty boundary. The results in this paper are similar with those in \cite{ST} and \cite{WY}. Like \cite{ST} and \cite{WY}, we still use quasi-spherical metrics introduced by \cite{Ba} to get monotonicity of some quantities.
Keywords
Cite
@article{arxiv.math/0611253,
title = {Boundary behaviors and scalar curvature of compact manifolds},
author = {Yuguang Shi and Luen-Fai Tam},
journal= {arXiv preprint arXiv:math/0611253},
year = {2007}
}
Comments
13 pages