Eigenfunctions and eigenvalues on surfaces of revolution

DOI10.1007/BF03322628zbMath0694.53038MaRDI QIDQ909254

Brigitte Beekmann

Publication date: 1990

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenfunctionsLaplacianmultiplicitiessurface of revolution

Mathematics Subject Classification ID

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

Related Items (3)

On the spectrum of Riemannian G-manifolds ⋮ Stabilization of damped waves on spheres and Zoll surfaces of revolution ⋮ Estimates for the eigenvalues of Hill's equation and applications for the eigenvalues of the Laplacian on toroidal surfaces

Cites Work

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• On a compact Lie group acting on a manifold
• Spektrale Starrheit gewisser Drehflächen
• Eigenfunctions and nodal sets
• Representations of compact Lie groups and elliptic operators
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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