  We represent B fields and higher p-form potentials on a manifold M as
connections on affine bundles over M. We realize D branes on M as special
submanifolds of these affine bundles. We check the physical relevance of this
representation by showing that the properties of the resulting branes closely
correspond to those of their string theory counterparts. As a simple
application of this geometric understanding of the B field, we show how to
obtain supersymmetry algebra deformations induced by 2 and 3 form potentials.
