A Poisson formula for Heisenberg manifolds

DOI10.1215/S0012-7094-94-07303-1zbMath0803.58054MaRDI QIDQ1325152

Hubert Pesce

Publication date: 19 December 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Heisenberg manifoldPoisson type formula

Mathematics Subject Classification ID

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

Related Items (7)

On the Poisson relation for compact Lie groups ⋮ Length minimizing geodesics and the length spectrum of Riemannian two-step nilmanifolds ⋮ The heat kernel and the spectrum of a class of nilmanifolds ⋮ Length spectra and \(p\)-spectra of compact flat manifolds ⋮ The minimal marked length spectrum of Riemannian two-step nilmanifolds ⋮ Riemannian nilmanifolds and the trace formula ⋮ The length spectrum of Riemannian two-step nilmanifolds1

Cites Work

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• Isospectral closed Riemannian manifolds which are not locally isometric
• The spectrum of the Laplacian on Riemannian Heisenberg manifolds
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Curvatures of left invariant metrics on Lie groups
• The length spectra of some compact manifolds of negative curvature
• Formule de Poisson pour les variétés riemanniennes
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Correction to: Silberg' trace formua as applied to a compact riemann surface by H. P. Mckean, comm. pure appl. math. 25, pp. 225‐246,1972
• Length spectrum for compact locally symmetric spaces of strictly negative curvature
• Déformations isospectrales sur certaines nilvariétés et finitude spectrale des variétés de Heisenberg

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