International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 5, Pages 47574, 11 p.
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
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.