arXiv:math/0611253 Abstract

arXiv:math/0611253 [math.DG]Abstract References Reviews Resources

Boundary behaviors and scalar curvature of compact manifolds

Published 2006-11-09Version 1

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.

Comments: 13 pages

Categories: math.DG, math-ph, math.MP

Subjects: 53C20, 83C99

Keywords: compact manifolds, boundary behaviors, scalar curvature, rigidity theorems, nonempty boundary

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