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- W1924823212 abstract "We prove that if an asymptotically Schwarzschildean 3-manifold (M,g) contains a properly embedded stable minimal surface, then it is isometric to the Euclidean space. This implies, for instance, that in presence of a positive ADM mass any sequence of solutions to the Plateau problem with diverging boundaries can never have uniform height bounds, even at a single point. An analogous result holds true up to ambient dimension seven provided polynomial volume growth on the hypersurface is assumed." @default.
- W1924823212 created "2016-06-24" @default.
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- W1924823212 date "2014-03-25" @default.
- W1924823212 modified "2023-09-23" @default.
- W1924823212 title "Rigidity of stable minimal hypersurfaces in asymptotically flat spaces" @default.
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