2 citations · 2 across the 5 of their papers we have counts for
6 papers · 1 filter
Spectral properties of 4-dimensional compact flat manifolds
Roberto Miatello, Ricardo Podesta
We study the spectral properties of a large class of compact flat Riemannian manifolds of dimension 4, namely, those whose corresponding Bieberbach groups have the canonical lattic…
(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…
The spectrum of twisted Dirac operators on compact flat manifolds
Roberto Miatello, Ricardo Podesta
Let be an orientable compact flat Riemannian manifold endowed with a spin structure. In this paper we determine the spectrum of Dirac operators acting on smooth sections of twi…
Spin structures and spectra of -manifolds
Roberto Miatello, Ricardo Podesta
We give necessary and sufficient conditions for the existence of pin+, pin- and spin structures on Riemannian manifolds with holonomy group . For any n>3 (resp. n>5) we give…
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…