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 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.1505.02554 |