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arXiv · 2602.14806

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

Gabriele Mondello·Nicolas Tholozan
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Abstract

In this paper we show that the volume of a maximal globally hyperbolic Cauchy-compact anti-de Sitter $3$-manifold $M$ is at least $\pi^2|\chi(M)|$, and that this minimum value is attained if and only if $M$ is Fuchsian.

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Gabriele Mondello, Nicolas Tholozan. 2026-02-16. Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds. https://arxiv.org/abs/2602.14806

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