Geometriae Dedicata

, Volume 126, Issue 1, pp 71–129

Constant Mean Curvature Foliations of Globally Hyperbolic Spacetimes Locally Modelled on AdS3

  • Thierry Barbot
  • François Béguin
  • Abdelghani Zeghib
Article

Abstract

We prove that every three-dimensional maximal globally hyperbolic spacetime, locally modelled on the anti-de Sitter space AdS3, with closed orientable Cauchy surfaces, admits a unique CMC time function.

Keywords

globally hyperbolic spacetime anti-de Sitter space time function constant mean curvature 

Mathematics Subject Classification (2000)

51M10 

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Copyright information

© Springer 2006

Authors and Affiliations

  • Thierry Barbot
    • 1
  • François Béguin
    • 1
  • Abdelghani Zeghib
    • 1
  1. 1.Departement de Mathematiques UMR 5669CNRS-Ecole Normale Superieure de LyonLyonFrance

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