On Tholozan's volume formula for closed anti-de-Sitter 3-manifolds

DOI10.1007/s10711-023-00878-9arXiv2311.03971WikidataQ129372478 ScholiaQ129372478MaRDI QIDQ6120826

François Labourie

Publication date: 21 February 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2311.03971

zbMATH Keywords

volume3-manifoldChern-Simons invariantsanti-de-Sitter

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on low-dimensional manifolds (57M50) Other geometric structures on 3-manifolds (57K35)

Cites Work

• Lectures on representations of surface groups
• Maximally stretched laminations on geometrically finite hyperbolic manifolds
• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• Completeness of Lorentz manifolds with constant curvature
• Characteristic forms and geometric invariants
• Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds)
• Lorentz spacetimes of constant curvature
• Notes on a paper of Mess
• Characteristic Classes. (AM-76)
• The Volume of complete anti-de Sitter 3-manifolds

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