A computational study on lens spaces isospectral on forms

Abstract

We make a computational study to know what kind of isospectralities among lens spaces and lens orbifolds exist considering the Hodge--Laplace operators acting on smooth $p$-forms. Several evidenced facts are proved and some others are conjectured.

References in corpus (7)

• Spectra of lens spaces from 1-norm spectra of congruence lattices
• Spectra of orbifolds with cyclic fundamental groups
• Representation equivalence and p-Spectrum of constant curvature space forms
• The spectrum on $p$-forms of a lens space
• Non-strongly isospectral spherical space forms
• Multiplicity formulas for fundamental strings of representations of classical Lie algebras
• A computational study on lens spaces isospectral on forms

Cited by in corpus (2)

• A computational study on lens spaces isospectral on forms
• Recent results on the spectra of lens spaces