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A Rigidity Theorem for Surfaces in Schwarzschild Manifold

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Publication:5151547
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DOI10.1093/imrn/rny155zbMath1458.53062arXiv1802.00887OpenAlexW2963700259MaRDI QIDQ5151547

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Publication date: 19 February 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00887


zbMATH Keywords

horizonconvex surfaceSchwarzschild manifoldCohn-Vossen-type rigidity


Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Rigidity results (53C24)


Related Items (4)

Rigidity of Riemannian Penrose inequality with corners and its implications ⋮ On the rigidity of Riemannian-Penrose inequality for asymptotically flat 3-manifolds with corners ⋮ Uniqueness of isometric immersions with the same mean curvature ⋮ A quasi-local Penrose inequality for the quasi-local energy with static references




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