Spectral geometry in dimension 3

DOI10.1007/BF02398437zbMath0814.53030OpenAlexW2036195833WikidataQ126107622 ScholiaQ126107622MaRDI QIDQ1343835

Robert Brooks, Peter A. Perry, Peter V Petersen

Publication date: 12 June 1995

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02398437

zbMATH Keywords

Laplacianisospectral metrics

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items

Isospectral finiteness on convex cocompact hyperbolic 3-manifolds, Unmarked trace spectrum rigidity on strictly convex real projective surfaces

Cites Work

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• Riemannian coverings and isospectral manifolds
• Compact isospectral sets of surfaces
• Remarks on the compactness of isospectral sets in low dimensions
• Eigenvalue comparison theorems and its geometric applications
• On Cheeger's inequality
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• A general comparison theorem with applications to volume estimates for submanifolds