21 citations · 78 across the 17 of their papers we have counts for
17 papers
Isospectral CR manifolds with respect to the Kohn Laplacian
Gerson Gutierrez, Emilio A. Lauret, Juan Pablo Rossetti
We prove that the spectrum of the Kohn Laplacian does not determine the equivalence classes of CR manifolds. We construct pairs of odd-dimensional elliptic manifolds that are not e…
Do the Hodge spectra distinguish orbifolds from manifolds? Part 2
Katie Gittins, Carolyn Gordon, Ingrid Membrillo Solis +3
In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on -forms by computing the heat…
Recent results on the spectra of lens spaces
Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti
In this paper we report on recent results by several authors, on the spectral theory of lens spaces and orbifolds and similar locally symmetric spaces of rank one. Most of these re…
Non-strongly isospectral spherical space forms
Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti
In this paper we describe recent results on explicit construction of lens spaces that are not strongly isospectral, yet they are isospectral on -forms for every . Such exampl…
Spectra of lens spaces from 1-norm spectra of congruence lattices
Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti
To every -dimensional lens space , we associate a congruence lattice in , with and we prove a formula relating the multiplicities of Hodge-…
Representation equivalence and p-Spectrum of constant curvature space forms
Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti
We study the -spectrum of a locally symmetric space of constant curvature , in connection with the right regular representation of the full isometry group of…