Analytic torsions associated with the Rumin complex on contact spheres
Differential Geometry
2022-11-22 v1
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.
Cite
@article{arxiv.1911.03092,
title = {Analytic torsions associated with the Rumin complex on contact spheres},
author = {Akira Kitaoka},
journal= {arXiv preprint arXiv:1911.03092},
year = {2022}
}
Comments
13 pages