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

DOI10.1007/s00039-009-0019-1zbMath1187.53027arXivmath/0610767OpenAlexW2074384556MaRDI QIDQ1047125

André Neves, Tian, Gang

Publication date: 4 January 2010

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610767

zbMATH Keywords

foliationconstant mean curvatureasymptoticSchwarzschild's metric

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Foliations (differential geometric aspects) (53C12)

Related Items (max. 100)

Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ On the center of mass of asymptotically hyperbolic initial data sets ⋮ Constant mean curvature surfaces in warped product manifolds ⋮ Characterization of large isoperimetric regions in asymptotically hyperbolic initial data ⋮ Rigidity of Hawking mass for surfaces in three manifolds ⋮ 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 ⋮ Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds ⋮ Constant curvature foliations in asymptotically hyperbolic spaces ⋮ Foliations of asymptotically flat manifolds by surfaces of Willmore type ⋮ On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass

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