Riemannian manifolds isospectral on functions but not on 1-forms

DOI10.4310/jdg/1214440259zbMath0585.53036OpenAlexW1591155487WikidataQ115185288 ScholiaQ115185288MaRDI QIDQ1070554

Carolyn S. Gordon

Publication date: 1986

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214440259

zbMATH Keywords

Laplace-Beltrami operatorHeisenberg groupsp-isospectralspectrum on p-forms

Mathematics Subject Classification ID

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

Related Items (12)

Boundary volume and length spectra of Riemannian manifolds: what the middle degree Hodge spectrum doesn't reveal. ⋮ The spectrum on \(p\)-forms of a lens space ⋮ On a relation between spectral theory of lens spaces and Ehrhart theory ⋮ On isospectral potentials on a discrete lattice. II ⋮ Geometry of $2$-step nilpotent groups with a left invariant metric ⋮ On isospectral periodic potentials on a discrete lattice. I ⋮ Strongly isospectral manifolds with nonisomorphic cohomology rings ⋮ Recent results on the spectra of Lens spaces ⋮ Riemannian nilmanifolds and the trace formula ⋮ Continuous families of Riemannian manifolds, isospectral on functions but not on 1-forms ⋮ Lens Spaces, Isospectral on Forms but not on Functions ⋮ Flat manifolds isospectral on \(p\)-forms.

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