Boundary behaviors and scalar curvature of compact manifolds

Details Boundary behaviors and scalar curvature of compact manifolds Boundary behaviors and scalar curvature of compact manifolds

2006-11-09

arxiv.org/abs/math/0611253v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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.

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