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arXiv · 1505.02554

Non-strongly isospectral spherical space forms

Emilio A. Lauret·Roberto J. Miatello·Juan Pablo Rossetti
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Abstract

In this paper we describe recent results on explicit construction of lens spaces that are not strongly isospectral, yet they are isospectral on $p$-forms for every $p$. Such examples cannot be obtained by the Sunada method. We also discuss related results, emphasizing on significant classical work of Ikeda on isospectral lens spaces, via a thorough study of the associated generating functions.

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Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti. 2015-05-11. Non-strongly isospectral spherical space forms. https://doi.org/10.1090/conm%2F656%2F13104

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