论文标题

初始数据刚度结果

Initial data rigidity results

论文作者

Eichmair, Michael, Galloway, Gregory J., Mendes, Abraão

论文摘要

我们为由正质量定理激发的初始数据集提供了几个刚性结果。我们在这里的证明中的一个重要步骤是建立条件,以确保边缘外面的表面“最弱”。包括特殊情况的riemannian歧管的僵化结果,其标态曲率上有下限。

We present several rigidity results for initial data sets motivated by the positive mass theorem. An important step in our proofs here is to establish conditions that ensure that a marginally outer trapped surface is "weakly outermost". A rigidity result for Riemannian manifolds with a lower bound on their scalar curvature is included as a special case.

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