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

2017/03/07 by Otis Chodosh, Chodosh, Otis, Michael Eichmair +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1703.02494

openalex publication_date 2017/03/07 · openalex created_date 2022/01/25 · openalex updated_date 2026/07/28

Abstract

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

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