International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 47574, 11 pages
doi:10.1155/IJMMS/2006/47574

Vector bundles over three-dimensional spherical space forms

Esdras Teixeira Costa, Oziride Manzoli Neto, and Mauro Spreafico

ICMC-USP, São Carlos 13560-970, Brazil

Received 12 March 2006; Accepted 13 March 2006

Copyright © 2006 Esdras Teixeira Costa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the problem of enumerating the G-bundles over low-dimensional manifolds (dimension ≤3) and in particular vector bundles over the three-dimensional spherical space forms. We give a complete answer to these questions and we give tables for the possible vector bundles over the 3-dimensional spherical space forms.