Constant curvature foliations in asymptotically hyperbolic spaces

DOI10.4171/RMI/637zbMath1214.53024arXiv0710.2298MaRDI QIDQ533389

Frank Pacard, Rafe R. Mazzeo

Publication date: 3 May 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2298

zbMATH Keywords

constant mean curvaturefoliationsconstant scalar curvatureSchouten tensor

Mathematics Subject Classification ID

Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12)

Related Items (18)

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 ⋮ Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities ⋮ Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by constant mean curvature surfaces ⋮ Mass, center of mass and isoperimetry in asymptotically flat 3-manifolds ⋮ Moduli of flat conformal structures of hyperbolic type ⋮ New \(r\)-minimal hypersurfaces via perturbative methods ⋮ Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space ⋮ The mass of an asymptotically hyperbolic manifold with a non-compact boundary ⋮ Elliptic boundary value problems for Bessel operators, with applications to anti-de Sitter spacetimes ⋮ Extremal domains on Hadamard manifolds ⋮ Foliations of asymptotically flat manifolds by surfaces of Willmore type ⋮ Asymptotically Poincaré surfaces in quasi-Fuchsian manifolds ⋮ The Cheeger constant of an asymptotically locally hyperbolic manifold and the Yamabe type of its conformal infinity ⋮ On almost-Fuchsian manifolds ⋮ On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass ⋮ On periodic orbits in a slow-fast system with normally elliptic slow manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Foliation by constant mean curvature spheres
• Foliations by constant mean curvature tubes
• Hypersurfaces in \(\mathbb H^{n+1}\) and conformally invariant equations: the generalized Christoffel and Nirenberg problems
• On the CMC foliation of future ends of a spacetime
• Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds
• Einstein metrics with prescribed conformal infinity on the ball
• The foliation of asymptotically hyperbolic manifolds by surfaces of constant mean curvature (including the evolution equations and estimates)
• Bel-Robinson energy and constant mean curvature foliations
• The generalized gradient at a multiple eigenvalue
• Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
• Constant mean curvature hypersurfaces condensing on a submanifold
• 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
• The Yamabe problem
• Problème de Minkowski et surfaces à courbure constante dans les variétés hyperboliques
• Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds

This page was built for publication: Constant curvature foliations in asymptotically hyperbolic spaces