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arXiv · 2009.03276

Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces

Akira Kitaoka
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Abstract

We express explicitly the analytic torsion functions associated with the Rumin complex on lens spaces in terms of the Hurwitz zeta function. In particular, we find that the functions vanish at the origin and determine the analytic torsions. Moreover, we have a formula between this torsion and the Ray-Singer torsion.

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BibTeXRIS

Akira Kitaoka. 2020-09-04. Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces. https://doi.org/10.3842/sigma.2022.091

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