Stable spectrum for pseudo-Riemannian locally symmetric spaces

DOI10.1016/j.crma.2010.11.023zbMath1208.22013OpenAlexW2089131537WikidataQ115358250 ScholiaQ115358250MaRDI QIDQ627264

Toshiyuki Kobayashi, Fanny Kassel

Publication date: 21 February 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.11.023

zbMATH Keywords

discrete spectrumhomogeneous manifoldClifford-Klein formjoint eigenfunctionsnon-compact real reductive Lie groups

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30)

Related Items (4)

Intrinsic Sound of Anti-de Sitter Manifolds ⋮ Poincaré series for non-Riemannian locally symmetric spaces ⋮ Spectral analysis on pseudo-Riemannian locally symmetric spaces ⋮ Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups

Cites Work

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• Proper action on a homogeneous space of reductive type
• Discrete series for semisimple symmetric spaces
• Completeness of Lorentz manifolds with constant curvature
• Compact Clifford-Klein forms of symmetric spaces -- revisited
• Proper actions on reductive homogeneous spaces

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