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arXiv · 1703.02494

Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian three-manifolds

Otis Chodosh·Michael Eichmair
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Abstract

Let $(M, g)$ be a complete Riemannian $3$-manifold that is asymptotic to Schwarzschild with positive mass and whose scalar curvature vanishes. We \textsl{unconditionally} characterize the large, embedded stable constant mean curvature spheres in $(M, g)$.

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Otis Chodosh, Michael Eichmair. 2017-03-07. Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian three-manifolds. https://arxiv.org/abs/1703.02494

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