  We first want to consider the formal deformation of a fibered manifold $P
\rightarrow M$ as a (bi-)module or subalgebra, where $M$ has a given
differential star product. Consequently we want to find obstructions for the
existence of a bimodule or subalgebra, which turns out to be the curvature of
the fiber bundle. Since the order by order construction of this structures
amounts to solving equations in the Hochschild cohomology of the smooth
functions on $M$ with values in the differential operators on $P$, we proceed
to computing this cohomology for the case of a smooth map $P \xrightarrow{p} M$
such that $p(P)$ is a closed submanifold of $M$.
