Non-strongly isospectral spherical space forms

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 wo...

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Veröffentlicht in:arXiv.org 2015-05
Hauptverfasser: Lauret, Emilio A, Miatello, Roberto J, Juan Pablo Rossetti
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1505.02554