3 citations · 5 across the 3 of their papers we have counts for
4 papers
(Z_2^k)-manifolds are isospectral on forms
R. J. Miatello, R. A. Podesta, J. P. Rossetti
We obtain a simple formula for the multiplicity of eigenvalues of the Hodge-Laplace operator, , acting on sections of the full exterior bundle over an arbitrary compact flat R…
Hearing the platycosms
J. P. Rossetti, J. H. Conway
A `platycosm' is a flat Riemannian 3-manifold without boundary. In this paper we prove that there is (up to scale) a unique isospectral pair of compact platycosms.
Flat Manifolds Isospectral on p-Forms
R. J. Miatello, J. P. Rossetti
We study isospectrality on p-forms of compact flat manifolds by using the equivariant spectrum of the Hodge-Laplacian on the torus. We give an explicit formula for the multiplicity…
Length spectra and p-spectra of compact flat manifolds
R. J. Miatello, J. P. Rossetti
We study the length, weak length and complex length spectrum of closed geodesics of a compact flat Riemannian manifold, comparing length-isospectrality with isospectrality of the L…