Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds

Gabriele Mondello, Nicolas Tholozan

In this paper we show that the volume of a maximal globally hyperbolic Cauchy-compact anti-de Sitter $3$-manifold $M$ is at least $\ddot{I}{€}^2|\ddot{I}‡(M)|$, and that this minimum value is atta…