Non-strongly isospectral spherical space forms
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2015
- DOI:
- 10.48550/arXiv.1505.02554
- arXiv:
- arXiv:1505.02554
- Bibcode:
- 2015arXiv150502554L
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Representation Theory
- E-Print:
- Contemporary Mathematics 656 (2016), 95-118