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.

References in corpus (1)

• Representation equivalent Bieberbach groups and strongly isospectral flat manifolds

Cited by in corpus (4)

• Spectra of orbifolds with cyclic fundamental groups
• The spectrum on $p$-forms of a lens space
• A computational study on lens spaces isospectral on forms
• Recent results on the spectra of lens spaces