On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds
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Publication:2209452
DOI10.1515/crelle-2019-0034zbMath1455.53060arXiv1703.09557OpenAlexW2991389983WikidataQ115236871 ScholiaQ115236871MaRDI QIDQ2209452
Michael Eichmair, Otis Chodosh
Publication date: 2 November 2020
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.09557
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
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Cites Work
- Constant mean curvature surfaces in warped product manifolds
- Isoperimetric and Weingarten surfaces in the Schwarzschild manifold
- On large volume preserving stable CMC surfaces in initial data sets
- Large outlying stable constant mean curvature spheres in initial data sets
- Foliation by constant mean curvature spheres
- The isoperimetric profile of a smooth Riemannian manifold for small volumes
- Constant mean curvature spheres in Riemannian manifolds
- The inverse mean curvature flow and the Riemannian Penrose inequality
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
- Effective versions of the positive mass theorem
- On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
- Unstable CMC spheres and outlying CMC spheres in AF 3-manifolds
