INV SUPERIOR JUBILADO
MIATELLO Roberto Jorge
artículos
Título:
Spectral properties of Four-dimensional compact flat manifolds
Autor/es:
MIATELLO R., PODESTA' R.
Revista:
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Editorial:
Springer Verlag
Referencias:
Lugar: Berlin; Año: 2006 vol. 29 p. 17 - 50
ISSN:
0232-704X
Resumen:
We study the spectral properties of a large class of compact flat riemannian manifolds of dimension 4. By using the explicit expression of the heat trace of the Laplacian acting on p-forms we determine all p-isospectral and length-isospectral pairs and we show that for this class, isospectrality on functions implies isopectrality on p-forms for all p. We also exhibit many pairs of manifolds that are isospectral on p-forms for some p, 0<p<4, not isospectral on functions and which have different lengths of closed geodesics.
