Intrinsic Sound of Anti-de Sitter Manifolds

DOI10.1007/978-981-10-2636-2_6zbMath1368.53048arXiv1609.05986OpenAlexW2522229430MaRDI QIDQ5278128

Toshiyuki Kobayashi

Publication date: 13 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05986

zbMATH Keywords

Lorentzian manifoldLaplacianspectral analysisreductive grouplocally symmetric spacediscontinuous groupClifford-Klein form

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semisimple Lie groups and their representations (22E46) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Discrete subgroups of Lie groups (22E40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (3)

Conjectures on Reductive Homogeneous Spaces ⋮ Linear independence of generalized Poincaré series for anti-De Sitter 3-manifolds ⋮ A quantitative study of orbit counting and discrete spectrum for anti-de Sitter 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of semisimple symmetric spaces with proper \(\mathrm{SL}(2,\mathbb R)\)-actions
• Deformation of proper actions on reductive homogeneous spaces
• Stable spectrum for pseudo-Riemannian locally symmetric spaces
• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
• Relativistic space forms
• Poincaré series for non-Riemannian locally symmetric spaces
• Finite parts of the spectrum of a Riemann surface
• Nonstandard Lorentz space forms
• Proper action on a homogeneous space of reductive type
• Disappearance of cusp forms in special families
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Compact Clifford-Klein forms of symmetric spaces -- revisited
• Ergodicity of Flows on Homogeneous Spaces

This page was built for publication: Intrinsic Sound of Anti-de Sitter Manifolds