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

André Neves, Gang Tian

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We prove existence and uniqueness of foliations by stable spheres with constant mean curvature for 3-manifolds which are asymptotic to anti-de Sitter- Schwarzschild metrics with positive mass. These metrics arise naturally as spacelike timeslices for solutions of the Einstein equation with a negative cosmological constant.

Original languageEnglish (US)
Pages (from-to)910-942
Number of pages33
JournalGeometric and Functional Analysis
Volume19
Issue number3
DOIs
StatePublished - Jan 1 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology

Keywords

  • Constant mean curvature
  • Foliations

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