On isospectral locally symmetric spaces and a theorem of von Neumann

DOI10.1215/S0012-7094-89-05910-3zbMath0694.22007MaRDI QIDQ909042

Ralf J. Spatzier

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

cocompact latticelocally symmetric spacesisospectral Laplaciansisospectral latticesisospectral torsionfree subgroups of finite indexsemisimple real algebraic groups

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Differential geometry of symmetric spaces (53C35)

Related Items (5)

Isospectral finiteness on convex cocompact hyperbolic 3-manifolds ⋮ Division algebras and noncommensurable isospectral manifolds ⋮ Correction to: On isospectral locally symmetric spaces and a theorem of von Neumann ⋮ Isospectrality and commensurability of arithmetic hyperbolic 2- and 3- manifolds ⋮ Isospectral graphs and the representation-theoretical spectrum

Cites Work

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• Riemannian coverings and isospectral manifolds
• On subgroups of \(GL_ n(F_ p)\)
• Isospectral and non-isometric Riemannian manifolds
• On manifolds of negative curvature with isospectral potentials
• Groupes reductifs
• Compact Clifford-Klein forms of symmetric spaces
• Zero-Entropy Affine Maps on Homogeneous Spaces
• Flows on Homogeneous Spaces: A New Look
• Representations of semisimple Lie groups. II

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