Calcul du Spectre d'une Nilvariete de Rang Deux et Applications

DOI10.2307/2154227zbMath0791.58099OpenAlexW4252713233MaRDI QIDQ3141860

Hubert Pesce

Publication date: 28 November 1993

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

Full work available at URL: https://doi.org/10.2307/2154227

zbMATH Keywords

isospectral deformationsLaplace spectrumspectral rigidityKirillov orbitsrank-two nilmanifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Partial differential equations on manifolds; differential operators (58J99)

Related Items (8)

Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds ⋮ Harmonic analysis on two and three-step nilmanifolds ⋮ Line bundle Laplacians over isospectral nilmanifolds ⋮ The minimal marked length spectrum of Riemannian two-step nilmanifolds ⋮ Riemannian nilmanifolds and the trace formula ⋮ Decomposition of quasi-regular representations induced from discrete subgroups of nilpotent Lie groups ⋮ 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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