Area-minimizing surfaces in asymptotically flat three-manifolds
Differential Geometry
2015-10-27 v1
Abstract
We show that an asymptotically flat Riemannian three-manifold with non-negative scalar curvature is isometric to flat if it admits an unbounded area-minimizing surface. This answers a question of R. Schoen.
Cite
@article{arxiv.1510.07406,
title = {Area-minimizing surfaces in asymptotically flat three-manifolds},
author = {Otis Chodosh and Michael Eichmair},
journal= {arXiv preprint arXiv:1510.07406},
year = {2015}
}
Comments
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