Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$

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dc.creatorBarbot, Thierry
dc.creatorBeguin, Francois
dc.creatorZeghib, Abdelghani
dc.date2004-12-06
dc.date.accessioned2026-07-07T09:30:34Z
dc.date.available2026-07-07T09:30:34Z
dc.descriptionWe prove that any maximal globally hyperbolic spacetime locally modelled on the anti-de Sitter space of dimension 3, and admitting a closed Cauchy surface, admits a time function $τ$, such that every fiber $τ^{-1}(t)$ is a spacelike surface with constant mean curvature $t$.
dc.identifierhttps://arxiv.org/abs/math/0412111
dc.identifierhttp://arxiv.org/abs/math/0412111
dc.identifierGeom. Ded. 126, 1 (2007) 71--129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158159
dc.subjectMetric Geometry
dc.subject53C50 53C50 53C12
dc.titleConstant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$
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