Isospectral families of conformally equivalent Riemannian metrics

DOI10.1090/S0273-0979-1990-15952-XzbMath0722.58045OpenAlexW2086241707WikidataQ115282235 ScholiaQ115282235MaRDI QIDQ3209914

Carolyn S. Gordon, Robert Brooks

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15952-x

zbMATH Keywords

isospectral conformally equivalent manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Partial differential equations on manifolds; differential operators (58J99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

Compactness of isospectral conformal metrics and isospectral potentials on a 4-manifold ⋮ Geometry of $2$-step nilpotent groups with a left invariant metric ⋮ Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groups ⋮ Integral estimates of conformal metrics ⋮ On compactness of isospectral conformal, metrics of 4-manifolds ⋮ On isospectral compactness in conformal class for 4-manifolds ⋮ Continuous families of Riemannian manifolds, isospectral on functions but not on 1-forms

Cites Work

• Riemannian coverings and isospectral manifolds
• Isospectral sets of conformally equivalent metrics
• Curvatures of left invariant metrics on Lie groups
• On manifolds of negative curvature with isospectral potentials
• Isospectral deformations II: Trace formulas, metrics, and potentials
• Isospectral surfaces of small genus
• Isospectral deformations I: Riemannian structures on two-step nilspaces

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