Area-minimizing surfaces in asymptotically flat three-manifolds

Otis Chodosh; Michael Eichmair

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arXiv · 1510.07406

Area-minimizing surfaces in asymptotically flat three-manifolds

Otis Chodosh·Michael Eichmair

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Abstract

We show that an asymptotically flat Riemannian three-manifold with non-negative scalar curvature is isometric to flat $\mathbb{R}^3$ if it admits an unbounded area-minimizing surface. This answers a question of R. Schoen.

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Otis Chodosh, Michael Eichmair. 2015-10-26. Area-minimizing surfaces in asymptotically flat three-manifolds. https://arxiv.org/abs/1510.07406

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