Sphere and torus music

DOI10.1007/BF03025191zbMath0686.58036OpenAlexW22741664MaRDI QIDQ1262599

Dennis M. DeTurck

Publication date: 1989

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03025191

zbMATH Keywords

spectral geometrymusic on manifolds

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential complexes (58J10)

Cites Work

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• You can not hear the mass of a homology class
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• Isospectral Riemann surfaces
• Riemannian coverings and isospectral manifolds
• Isospectral and non-isometric Riemannian manifolds
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Isospectral surfaces of small genus
• Isospectral deformations I: Riemannian structures on two-step nilspaces
• Constructing Isospectral Manifolds
• On lens spaces which are isospectral but not isometric
• Bounded domains which are isospectral but not congruent
• EIGENVALUES OF THE LAPLACE OPERATOR ON CERTAIN MANIFOLDS
• Can One Hear the Shape of a Drum?

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