Rigidity of compact manifolds and positivity of quasi-local mass
Rigidity of compact manifolds and positivity of quasi-local mass
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DOI：
10.1088/0264-9381/24/9/013
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发表时间：
2007-05
影响因子：
3.5
通讯作者：
Yuguang Shi;Luen-Fai Tam
中科院分区：
文献类型：
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作者：
Yuguang Shi;Luen-Fai Tam
本文得到了具有非空边界的紧致流形的几个刚性定理。这些结果可能与Brown-York型准定域质量的正性有关。主要的论点是使用单调性的数量类似的布朗约克准本地质量的叶状准球形度量。结合质量正性的双曲形式，我们得到了主要结果。
In this paper, we obtain some rigidity theorems on compact manifolds with nonempty boundary. The results may be related to the positivity of some quasi-local mass of Brown–York type. The main argument is to use monotonicity of quantities similar to the Brown–York quasi-local mass in a foliation of quasi-spherical metrics. Together with a hyperbolic version of positivity of a mass quantity, we obtain our main results.