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arXiv · 1604.02471

The spectrum on $p$-forms of a lens space

Emilio A. Lauret
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Abstract

We give an explicit description of the spectrum of the Hodge--Laplace operator on $p$-forms of an arbitrary lens space for any $p$. We write the two generating functions encoding the $p$-spectrum as rational functions. As a consequence, we prove a geometric characterization of lens spaces that are $p$-isospectral for every $p$ in an interval of the form $[0,p_0]$.

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Emilio A. Lauret. 2016-04-08. The spectrum on $p$-forms of a lens space. https://doi.org/10.1007/s10711-018-0322-9

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