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math.DG2003
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…
math.DG2003
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…
math.DG2003
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…