在$AdS_3$上局部模化的全局双曲时空的常中曲率叶理
Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$
摘要：
我们证明了任何局部模化为3维反德西特空间的极大全局双曲时空，且容许闭柯西曲面，容许时间函数$τ$，使得每个纤维$τ^{-1}(t)$是具有常数中曲率$t$的类空曲面.
英文摘要：
We 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 $t$.
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