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- W4288279969 abstract "We present several rigidity results for Riemannian manifolds $(M^n,g)$ with scalar curvature $S ge -n(n-1)$ (or $Sge 0$), and having compact boundary $N$ satisfying a related mean curvature inequality. The proofs make use of results on marginally outer trapped surfaces applied to appropriate initial data sets. One of the results involves an analysis of Obata's equation on manifolds with boundary. This result is relevant to recent work of Lan-Hsuan Huang and the second author concerning the rigidity of asymptotically locally hyperbolic manifolds with zero mass." @default.
- W4288279969 created "2022-07-28" @default.
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- W4288279969 date "2019-07-22" @default.
- W4288279969 modified "2023-09-28" @default.
- W4288279969 title "Some scalar curvature warped product splitting theorems" @default.
- W4288279969 doi "https://doi.org/10.48550/arxiv.1907.09396" @default.
- W4288279969 hasPublicationYear "2019" @default.
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