On the point spectrum for finite volume symmentric spaces of negative curvature

DOI10.1080/03605308108820201zbMath0464.35066OpenAlexW2048951113MaRDI QIDQ3915366

Harold Donnelly

Publication date: 1981

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308108820201

zbMATH Keywords

symmetric spacesRiemannian manifoldLaplacianpoint and continuous spectrumspaces of negative curvature

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items

Finite energy and totally geodesic maps from locally symmetric spaces of finite volume, Pseudo-laplaciens. II, Analytic torsion of complete hyperbolic manifolds of finite volume, The essential spectrum of the Laplacian on manifolds with ends, Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps, On the Gauss-Bonnet Theorem for Complete Manifolds, Bias of root numbers for Hilbert newforms of cubic level

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• The spectrum of noncompact ${G \mathord{\left/ {\vphantom {G \Gamma }} \right. \kern-\nulldelimiterspace} \Gamma }$ and the cohomology of arithmetic groups