Boundary behaviors and scalar curvature of compact manifolds

2006/11/09 by Yuguang Shi, Shi, Yuguang, Luen-Fai Tam +1
Mathematics · Physics and Astronomy · #53C20 #83C99 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #math-ph #math.DG #math.MP #msc:53C20 #msc:83C99

paper · pdf · doi:10.48550/arxiv.math/0611253

13 pages

arxiv created 2006/11/09 · openalex publication_date 2006/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, by modifying the arguments in \citeWY, we get some rigidity theorems on compact manifolds with nonempty boundary. The results in this paper are similar with those in \citeST and \citeWY. Like \citeST and \citeWY, we still use quasi-spherical metrics introduced by \citeBa to get monotonicity of some quantities.

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