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arxiv: 1505.02554 · v1 · pith:5DUZQES2new · submitted 2015-05-11 · 🧮 math.DG · math.RT

Non-strongly isospectral spherical space forms

classification 🧮 math.DG math.RT
keywords isospectralformslensresultsspacesassociatedcannotclassical
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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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