Analytic torsions associated with the Rumin complex on contact spheres

Abstract

We explicitly write down all eigenvalues of the Rumin Laplacian on the standard contact spheres, and express the analytic torsion functions associated with the {Rumin complex} in terms of the Riemann zeta function. In particular, we find that the functions vanish at the origin and determine the analytic torsions.

13 pages

Cited by in corpus (3)

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