Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian 3-manifolds-Reference-Cited by-同舟云学术

Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian 3-manifolds

Published:2022-01-15 Issue:1 Volume:171 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Chodosh Otis¹,Eichmair Michael²

Affiliation:

1. Department of Mathematics, Stanford University, Stanford, California, USA

2. Faculty of Mathematics, University of Vienna, Vienna, Austria

Publisher

Duke University Press

Subject

General Mathematics

Reference33 articles.

1. J. L. Barbosa and M. do Carmo, Stability of hypersurfaces with constant mean curvature, Math. Z. 185 (1984), no. 3, 339–353.

2. H. L. Bray, The Penrose inequality in general relativity and volume comparison theorems involving scalar curvature, Ph.D. dissertation, Stanford University, Stanford, 1997.

3. S. Brendle, Constant mean curvature surfaces in warped product manifolds, Publ. Math. Inst. Hautes Études Sci. 117 (2013), 247–269.

4. S. Brendle and M. Eichmair, Large outlying stable constant mean curvature spheres in initial data sets, Invent. Math. 197 (2014), no. 3, 663–682.

5. S. Brendle, P.-K. Hung, and M.-T. Wang, A Minkowski inequality for hypersurfaces in the anti-de Sitter-Schwarzschild manifold, Comm. Pure Appl. Math. 69 (2016), no. 1, 124–144.

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