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The marked length spectrum vs. the Laplace spectrum on forms on Riemannian nilmanifolds

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Publication:1921349
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DOI10.1007/BF02566421zbMath0861.58043arXivmath/9510207OpenAlexW2071256409WikidataQ115392043 ScholiaQ115392043MaRDI QIDQ1921349

Ruth Gornet

Publication date: 12 May 1997

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9510207


zbMATH Keywords

marked length spectrumLaplace spectrumRiemannian nilmanifolds


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)


Related Items

Dirac operator spectrum on a nilmanifold ⋮ The geometry of filiform nilpotent Lie groups ⋮ Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds ⋮ Length spectra and \(p\)-spectra of compact flat manifolds ⋮ On deformations of the spectrum of a Finsler-Laplacian that preserve the length spectrum ⋮ The minimal marked length spectrum of Riemannian two-step nilmanifolds ⋮ Laplacian spectrum on a nilmanifold, truncations and effective theories ⋮ Riemannian nilmanifolds and the trace formula ⋮ The length spectrum of Riemannian two-step nilmanifolds1 ⋮ Continuous families of Riemannian manifolds, isospectral on functions but not on 1-forms



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