Non-strongly isospectral spherical space forms
Differential Geometry
2016-02-25 v1 Representation Theory
Abstract
In this paper we describe recent results on explicit construction of lens spaces that are not strongly isospectral, yet they are isospectral on -forms for every . 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.
Keywords
Cite
@article{arxiv.1505.02554,
title = {Non-strongly isospectral spherical space forms},
author = {Emilio A. Lauret and Roberto J. Miatello and Juan Pablo Rossetti},
journal= {arXiv preprint arXiv:1505.02554},
year = {2016}
}