INVESTIGADORES
PODESTA Ricardo Alberto
artículos
Título:
(Z2)^k-manifolds are isospectral on forms
Autor/es:
ROBERTO J. MIATELLO; RICARDO A. PODESTÁ; JUAN P. ROSSETTI
Revista:
MATHEMATISCHE ZEITSCHRIFT
Editorial:
Springer
Referencias:
Año: 2008 vol. 258 p. 301 - 317
ISSN:
0025-5874
Resumen:
Abstract. We obtain a simple formula for the multiplicity of eigenvalues of the Hodge-Laplace operator, Delta_f, acting on sections of the full exterior bundle Lambda^*(TM) over an arbitrary compact flat Riemannian n-manifold M with holonomy group (Z2)^k, 0<k<n. This formula implies that any two such manifolds having isospectral lattices of translations are isospectral with respect to Delta_f. As a consequence, we construct a large family of pairwise (Delta_f)-isospectral andnonhomeomorphic n-manifolds of cardinality greater than 2^((n-1)(n-2)/2).
