  In this paper we define and study pseudoholomorphic vector bundles
structures, particular cases of which are tangent and normal bundle almost
complex structures. These are intrinsically related to the Gromov D-operator.
As an application we deduce normal forms of 1-jets of almost complex structures
along a submanifold. In dimension four we relate these normal forms to the
problem of pseudoholomorphic foliation of a neighborhood of a curve and the
question of non-deformation and persistence of pseudoholomorphic curves.
