Unstable CMC spheres and outlying CMC spheres in AF 3-manifolds
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Publication:4594990
DOI10.1142/S0219199716500656zbMath1381.53094arXiv1507.02767MaRDI QIDQ4594990
Publication date: 27 November 2017
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.02767
Applications of global differential geometry to the sciences (53C80) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
Related Items (2)
On the radius pinching estimate and uniqueness of the CMC foliation in asymptotically flat 3-manifolds ⋮ On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds
Cites Work
- Constant mean curvature surfaces in warped product manifolds
- Large outlying stable constant mean curvature spheres in initial data sets
- Foliations by stable spheres with constant mean curvature for isolated systems with general asymptotics
- Uniqueness of the foliation of constant mean curvature spheres in asymptotically flat 3-manifolds
- Foliations by stable spheres with constant mean curvature for isolated systems without asymptotic symmetry
- On the radius pinching estimate and uniqueness of the CMC foliation in asymptotically flat 3-manifolds
- Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds
- 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
- Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II
- On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
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