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15 January 2022 Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian 3-manifolds
Otis Chodosh, Michael Eichmair
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Duke Math. J. 171(1): 1-31 (15 January 2022). DOI: 10.1215/00127094-2021-0043

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 (CMC) spheres in (M,g).

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Otis Chodosh. Michael Eichmair. "Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian 3-manifolds." Duke Math. J. 171 (1) 1 - 31, 15 January 2022. https://doi.org/10.1215/00127094-2021-0043

Information

Received: 4 October 2019; Revised: 17 August 2020; Published: 15 January 2022
First available in Project Euclid: 17 January 2022

Digital Object Identifier: 10.1215/00127094-2021-0043

Subjects:
Primary: 53C20

Keywords: asymptotically flat , constant mean curvature , Hawking mass , Minkowski inequality , Scalar curvature , Schwarzschild

Rights: Copyright © 2022 Duke University Press

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Vol.171 • No. 1 • 15 January 2022
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