Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II

DOI10.1515/CRELLE.2010.028zbMath1194.53026arXiv0711.4331MaRDI QIDQ3561023

André Neves, Tian, Gang

Publication date: 17 May 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4331

zbMATH Keywords

asymptotically hyperbolic metricpositive massconstant mean curvature foliation

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

Related Items (12)

Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ On the center of mass of asymptotically hyperbolic initial data sets ⋮ On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds ⋮ Characterization of large isoperimetric regions in asymptotically hyperbolic initial data ⋮ Unstable CMC spheres and outlying CMC spheres in AF 3-manifolds ⋮ Mass, center of mass and isoperimetry in asymptotically flat 3-manifolds ⋮ Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry ⋮ Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension ⋮ Constant curvature foliations in asymptotically hyperbolic spaces ⋮ Foliations of asymptotically flat manifolds by surfaces of Willmore type ⋮ The Penrose inequality for asymptotically locally hyperbolic spaces with nonpositive mass ⋮ On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass

Cites Work

• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• The mass of asymptotically hyperbolic Riemannian manifolds.
• Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature

This page was built for publication: Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II