Determinant of Laplacians on Heisenberg manifolds.

DOI10.1016/S0393-0440(03)00053-6zbMath1049.58031arXivmath/0306408MaRDI QIDQ1414660

Kenro Furutani, Serge M. De Gosson

Publication date: 4 December 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306408

zbMATH Keywords

Heisenberg groupheat kernelLaplacianzeta-regularized determinantmodified Bessel functionPoisson's summation formulaKronecker's second limit formula

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52)

Related Items (7)

The Burghelea-Friedlander-Kappeler–gluing formula for zeta-determinants on a warped product manifold and a product manifold ⋮ Fundamental solution of a higher step Grushin type operator ⋮ Zeta regularized determinant of the Laplacian for classes of spherical space forms ⋮ Spectral analysis and geometry of a sub-Riemannian structure on \(S^3\) and \(S^7\) ⋮ Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant ⋮ Zeta determinants on cones and products ⋮ Spectral zeta function of the sub-Laplacian on two step nilmanifolds

Cites Work

• Unnamed Item
• Determinants of Laplace-like operators on Riemann surfaces
• The spectrum of the Laplacian on Riemannian Heisenberg manifolds
• Functional determinants and geometry
• R-torsion and the Laplacian on Riemannian manifolds
• Determinants of Laplacians and Multiple Gamma Functions
• Zeta Regularized Products
• Determinants of Laplacians, the Ray–Singer torsion on lens spaces and the Riemann zeta function
• The heat kernel and the spectrum of a class of nilmanifolds
• A new proof of the limit formula of Kronecker
• Identities Involving the Coefficients of a Class of Dirichlet Series. V
• Identities Involving the Coefficients of A Class of Dirichlet Series. VI

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