Non-strongly isospectral spherical space forms

Autor: Lauret, Emilio A., Miatello, Roberto J., Rossetti, Juan Pablo
Rok vydání: 2015
Předmět:
Zdroj: Contemporary Mathematics 656 (2016), 95-118
Druh dokumentu: Working Paper
DOI: 10.1090/conm/656/13104
Popis: 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.
Databáze: arXiv