INVESTIGADORES
PODESTA Ricardo Alberto
artículos
Título:
Spin structures and spectra of (Z2)^k-manifolds
Autor/es:
ROBERTO J. MIATELLO; RICARDO A. PODESTÁ
Revista:
MATHEMATISCHE ZEITSCHRIFT
Editorial:
Springrer
Referencias:
Año: 2004 vol. 247 p. 319 - 335
ISSN:
0025-5874
Resumen:
 We give necessary and sufficient conditions for the existence of pin± and spin structures on Riemannian manifolds with holonomy group Z2^k. For any n > 3 (resp. n >5) we give examples of pairs of compact manifolds (resp. compact orientable manifolds) M_1, M_2, non-homeomorphic to each other, that are Laplace isospectral on functions and on p-forms for any p and such that M_1 admits a pin± (resp. spin) structure whereas M_2 does not.