The foliation of asymptotically hyperbolic manifolds by surfaces of constant mean curvature (including the evolution equations and estimates)

DOI10.1007/s00229-004-0439-zzbMath1065.53029OpenAlexW2064715939MaRDI QIDQ1882753

Ralf Rigger

Publication date: 1 October 2004

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0439-z

zbMATH Keywords

mean curvature flowLorentz manifoldfoliationevolution equationsEinstein equationsconstant mean curvatureasymptotically flat manifoldasymptotically hyperbolic manifold

Mathematics Subject Classification ID

Related Items (14)

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 ⋮ Snapshots of non-local constrained mean curvature-type flows ⋮ Mass, center of mass and isoperimetry in asymptotically flat 3-manifolds ⋮ Nonlocal estimates for the volume preserving mean curvature flow and applications ⋮ Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry ⋮ Isoperimetry for asymptotically flat 3-manifolds with positive ADM mass ⋮ Volume-preserving mean curvature flow of hypersurfaces in space forms ⋮ Constant curvature foliations in asymptotically hyperbolic spaces ⋮ Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds ⋮ Mixed volume preserving flow by powers of homogeneous curvature functions of degree one ⋮ On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass

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