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arXiv · 1911.03092

Analytic torsions associated with the Rumin complex on contact spheres

Akira Kitaoka
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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.

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Akira Kitaoka. 2019-11-08. Analytic torsions associated with the Rumin complex on contact spheres. https://doi.org/10.1142/s0129167x20501128

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