The spectrum of the Laplacian and smooth deformation of the Riemannian metric

DOI10.3792/pjaa.55.125zbMath0465.58028OpenAlexW2017750966WikidataQ115219984 ScholiaQ115219984MaRDI QIDQ1154720

Masao Tanikawa

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.125

zbMATH Keywords

multiplicity of eigenvaluesspace of smooth Riemannian metricsSmale- Uhlenbeck transversality theorem for Frechet manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Deformations of general structures on manifolds (58H15) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

The spectrum of the Laplacian and smooth deformation of the Riemannian metric, Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds

Cites Work

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• The spectrum of the Laplacian and smooth deformation of the Riemannian metric
• Infinite dimensional Lie transformation groups
• Generic Properties of Eigenfunctions
• An Infinite Dimensional Version of Sard's Theorem
• Transversality in manifolds of mappings