  In this article, we focus on a very special class of foliations with complex
leaves whose diffeomorphism type is fixed. They have a unique compact leaf and
the noncompact leaves all accumulate onto it. We show that the complex
structure along the non-compact leaves is fixed by the complex structure of the
compact leaf. Reciprocally, we prove that the complex structure along a
non-compact leaf determines the complex structure along the other leaves. We
apply these results to the study of foliated deformations of Hopf manifolds, a
foliated analogue to the notion of deformation in the large.
