Non-strongly isospectral spherical space forms

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
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Lenses
Mathematics - Differential Geometry
Mathematics - Representation Theory
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Juan Pablo Rossetti
description 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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subjects Lenses
Mathematics - Differential Geometry
Mathematics - Representation Theory
title Non-strongly isospectral spherical space forms
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