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- W4300939611 abstract "In this paper we generalize the main result of [13] in two different situations: in the first case for MOTSs of genus greater than one and, in the second case, for MOTSs of high dimension with negative $sigma$-constant. In both cases we obtain a splitting result for the ambient manifold when it contains a stable closed MOTS which saturates a lower bound for the area (in dimension 2) or for the volume (in dimension $ge3$). These results are extensions of [21, Theorem 3] and [20, Theorem 3] to general (non-time-symmetric) initial data sets." @default.
- W4300939611 created "2022-10-04" @default.
- W4300939611 creator A5048673091 @default.
- W4300939611 date "2016-09-06" @default.
- W4300939611 modified "2023-09-30" @default.
- W4300939611 title "Rigidity of Marginally Outer Trapped (Hyper)Surfaces with Negative $sigma$-Constant" @default.
- W4300939611 doi "https://doi.org/10.48550/arxiv.1609.01579" @default.
- W4300939611 hasPublicationYear "2016" @default.
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