On isoperimetric surfaces in general relativity

DOI10.2140/pjm.2007.231.63zbMath1154.53048OpenAlexW1987518907MaRDI QIDQ952960

Brian Krummel, Justin Corvino, Michael Greenberg, Aydin Gerek

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2007.231.63

zbMATH Keywords

general relativitydifferential geometryisoperimetric profile

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (10)

Large isoperimetric regions in asymptotically hyperbolic manifolds ⋮ Constant mean curvature surfaces in warped product manifolds ⋮ Characterization of large isoperimetric regions in asymptotically hyperbolic initial data ⋮ Stability of constant mean curvature surfaces in three-dimensional warped product manifolds ⋮ Mass, center of mass and isoperimetry in asymptotically flat 3-manifolds ⋮ Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions ⋮ A volume comparison theorem for asymptotically hyperbolic manifolds ⋮ Isoperimetric problems for spacelike domains in generalized Robertson-Walker spaces ⋮ On isoperimetric surfaces in general relativity. II. ⋮ On perturbations of the Schwarzschild anti-de Sitter spaces of positive mass

This page was built for publication: On isoperimetric surfaces in general relativity