Non-strongly isospectral spherical space forms

LAURET, EMILIO A.; MIATELLO, ROBERTO J.; ROSSETTI, JUAN PABLO

Mathematical Congress of the Americas

American Mathematical Society

Lugar: Providence; Año: 2016; p. 95 - 118

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