Analytic torsions associated with the Rumin complex on contact spheres

DOI10.1142/S0129167X20501128zbMath1471.58035arXiv1911.03092OpenAlexW3091483921MaRDI QIDQ5146669

Akira Kitaoka

Publication date: 26 January 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03092

zbMATH Keywords

Riemann zeta functioneigenvaluescontact manifoldanalytic torsionharmonic analysis on homogeneous spacesanalysis on CR manifoldsdeterminants and determinant bundle

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Contact manifolds (general theory) (53D10) Determinants and determinant bundles, analytic torsion (58J52) Analysis on CR manifolds (32V20)

Related Items

An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups ⋮ Ray-Singer torsion and the Rumin Laplacian on Lens spaces

Cites Work

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• Analytic torsions on contact manifolds
• Laplacians on quotients of Cauchy-Riemann complexes and Szegő map for \(L^{2}\)-harmonic forms
• Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
• Differential forms on contact manifolds
• Sub-Riemannian limit of the differential form spectrum of contact manifolds
• ANALYTIC TORSIONS OF SPHERES
• The Tangential Cauchy-Riemann Complex on Spheres