The half-space model of pseudo-hyperbolic space

DOI10.1007/978-3-031-05379-5_17OpenAlexW3175045061MaRDI QIDQ2106322

Andrea Seppi, Enrico Trebeschi

Publication date: 14 December 2022

Full work available at URL: https://arxiv.org/abs/2106.11122

zbMATH Keywords

hyperbolic spacepseudo-Riemannian geometry(anti-)de Sitter space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• A geometric transition from hyperbolic to anti-de Sitter geometry
• Convex cocompactness in pseudo-Riemannian hyperbolic spaces
• The Lorentz-Poincaré metric on the upper half-space and its extension
• The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\)
• Fenchel-Nielsen coordinates on the augmented moduli space of anti-de Sitter structures
• Anti-de Sitter Geometry and Teichmüller Theory
• Geometric transition from hyperbolic to anti-de Sitter structures in dimension four
• Riemannian geometry

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