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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158159We 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 $t$.Metric Geometry53C50 53C50 53C12Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$text