Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866913089977319424 |
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| author | Mondello, Gabriele Tholozan, Nicolas |
| author_facet | Mondello, Gabriele Tholozan, Nicolas |
| contents | In this paper we show that the volume of a maximal globally hyperbolic Cauchy-compact anti-de Sitter $3$-manifold $M$ is at least $π^2|χ(M)|$, and that this minimum value is attained if and only if $M$ is Fuchsian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14806 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds Mondello, Gabriele Tholozan, Nicolas Differential Geometry 53C50 In this paper we show that the volume of a maximal globally hyperbolic Cauchy-compact anti-de Sitter $3$-manifold $M$ is at least $π^2|χ(M)|$, and that this minimum value is attained if and only if $M$ is Fuchsian. |
| title | Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds |
| topic | Differential Geometry 53C50 |
| url | https://arxiv.org/abs/2602.14806 |