REALIZING METRICS OF CURVATURE ON CLOSED SURFACES IN FUCHSIAN ANTI-DE SITTER MANIFOLDS

DOI10.1017/S1446788720000506zbMath1493.53088arXiv1912.03123OpenAlexW3130080396MaRDI QIDQ5075725

Hicham Labeni

Publication date: 11 May 2022

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03123

zbMATH Keywords

anti-de SitterFuchsian surfaces\(\mathrm{CAT}(-1)\)

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Hyperbolization of cusps with convex boundary
• Fixed points of compositions of earthquakes
• Maximal surfaces and the universal Teichmüller space
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• Length structures on manifolds with continuous Riemannian metrics
• Lorentz spacetimes of constant curvature
• Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds
• A Remark on Mahler's Compactness Theorem
• Geometry and spectra of compact Riemann surfaces

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