  We consider Courant and Courant-Jacobi brackets on the stable tangent bundle
$TM\times\mathds{R}^h$ of a differentiable manifold and corresponding Dirac,
Dirac-Jacobi and generalized complex structures. We prove that Dirac and
Dirac-Jacobi structures on $TM\times\mathds{R}^h$ can be prolonged to
$TM\times\mathds{R}^k$, $k>h$, by means of commuting infinitesimal
automorphisms. Some of the stable, generalized, complex structures are a
natural generalization of the normal, almost contact structures; they are
expressible by a system of tensors $(P,\theta,F,Z_a,\xi^a)$ $(a=1,...,h)$,
where $P$ is a bivector field, $\theta$ is a 2-form, $F$ is a $(1,1)$-tensor
field, $Z_a$ are vector fields and $\xi^a$ are 1-forms, which satisfy
conditions that generalize the conditions satisfied by a normal, almost contact
structure $(F,Z,\xi)$. We prove that such a generalized structure projects to a
generalized, complex structure of a space of leaves and characterize the
structure by means of the projected structure and of a normal bundle of the
foliation. Like in the Boothby-Wang theorem about contact manifolds, principal
torus bundles with a connection over a generalized, complex manifold provide
examples of this kind of generalized, normal, almost contact structures.
