Isospectral Riemannian metrics and potentials

DOI10.1090/S0273-0979-1987-15541-8zbMath0629.58008WikidataQ115282586 ScholiaQ115282586MaRDI QIDQ3766529

Carolyn S. Gordon, Dennis M. DeTurck

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorpotentialsisospectral metrics and potentialsspectra of the Laplace-Beltrami operator

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Differentiable maps on manifolds (58C25)

Cites Work

• Isospectral deformations of compact solvmanifolds
• Riemannian coverings and isospectral manifolds
• On manifolds of negative curvature with isospectral potentials
• Isospectral deformations I: Riemannian structures on two-step nilspaces

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