  We give several equivalent characterizations of orthogonal subbundles of the
generalized tangent bundle defined, up to B-field transform, by almost product
and local product structures. We also introduce a pure spinor formalism for
generalized CRF-structure and investigate the resulting decomposition of the de
Rham operator. As applications we give a characterization of generalized
complex manifolds that are locally the product of generalized complex factors
and discuss infinitesimal deformations of generalized CRF-structures.
