A quantitative study of orbit counting and discrete spectrum for anti-de Sitter 3-manifolds

DOI10.3792/pjaa.97.018OpenAlexW4200377960MaRDI QIDQ2075297

Kazuki Kannaka

Publication date: 14 February 2022

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.97.018

zbMATH Keywords

hyperbolic Laplaciancounting problemanti-de Sitter spacediscontinuous groupanti-de Sitter manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Discrete subgroups of Lie groups (22E40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Deformation of proper actions on reductive homogeneous spaces
• Maximally stretched laminations on geometrically finite hyperbolic manifolds
• Poincaré series for non-Riemannian locally symmetric spaces
• Proper action on a homogeneous space of reductive type
• Mixing, counting, and equidistribution in Lie groups
• Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds
• Completeness of Lorentz manifolds with constant curvature
• Spectral analysis on pseudo-Riemannian locally symmetric spaces
• Proper actions on reductive homogeneous spaces
• DEFORMATION OF PROPERLY DISCONTINUOUS ACTIONS OF ℤ^k ON ℝ^k+1
• Intrinsic Sound of Anti-de Sitter Manifolds

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