On the spectrum and the geometry of spherical space forms. II

DOI10.1007/BF00130482zbMath0556.58028MaRDI QIDQ760961

Friedbert Prüfer

Publication date: 1985

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Poincaré mapclosed geodesicsPoisson formulahomogeneous lens spacespherical space forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

On the Poisson relation for compact Lie groups

Cites Work

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• On the spectrum and the geometry of spherical space forms. I
• The Poisson formula for Euclidean space groups and some of its applications. II: The Jacobi transformation for flat manifolds
• On the spectrum of a Riemannian manifold of positive constant curvature
• On the spectrum of a Riemannian manifold of positive constant curvature. II
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Closed geodesics and the \(\eta\)-invariant
• Formule de Poisson pour les variétés riemanniennes
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• On lens spaces which are isospectral but not isometric