Mathematics > Differential Geometry
arXiv:2602.14806 (math)
[Submitted on 16 Feb 2026 (v1), last revised 2 Jun 2026 (this version, v3)]
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.
Submission history
From: Gabriele Mondello [view email]
[v1]
Mon, 16 Feb 2026 14:58:44 UTC (15 KB)
[v2]
Tue, 5 May 2026 14:43:52 UTC (18 KB)
[v3]
Tue, 2 Jun 2026 15:02:51 UTC (18 KB)
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