About systems of differential equations related to geodesic double differential forms mean values and harmonic spaces. I

DOI10.4171/ZAA/751zbMath0869.34009MaRDI QIDQ1355112

R. Schuster

Publication date: 19 May 1997

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorharmonic spacesparallel translationsmean value operatorsgeodesic double differential formstelescopage theorem

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Differential forms in global analysis (58A10) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Local Riemannian geometry (53B20) Euler-Poisson-Darboux equations (35Q05)

Cites Work

• Spectral estimates for compact hyperbolic space forms and the Selberg zeta function for \(p\)-spectra. I
• A lattice problem for differential forms in Euclidean spaces
• On a lattice problem for geodesic double differential forms in the \(n\)- dimensional hyperbolic space
• Curvature and spectrum of compact Riemannian manifolds
• Spectral estimates for compact hyperbolic space forms and the Selberg zeta function for \(p\)-spectra. II
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Gitterpunktprobleme in symmetrischen Riemannschen Räumen vom Rang 1
• Mean-value theorems for Riemannian manifolds
• Harmonische geodätische Formen und harmonische Räume
• Sphärische Mittelwerte für Differentialformen in nichteuklidischen Räumen mit Anwendungen auf die Wellengleichung und die MAXWELLschen Gleichungen
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