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

DOI10.1007/BF01000336zbMath0547.58040OpenAlexW4249414195MaRDI QIDQ799009

Friedbert Prüfer

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01000336

zbMATH Keywords

closed geodesicsEuler-Poisson-Darboux equationPoisson formulaperiodic geodesics

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

On the Poisson relation for compact Lie groups ⋮ On the spectrum and the geometry of spherical space forms. II

Cites Work

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• On the spectrum of a Riemannian manifold of positive constant curvature
• The spectrum of positive elliptic operators and periodic bicharacteristics
• On the wave equation asymptotics of a compact negatively curved surface
• Formule de Poisson pour les variétés riemanniennes
• Critical points of the displacement function of an isometry
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)

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