  In this note we study two features of submanifolds (subvarieties) with ample
normal bundles in a compact K\"ahler manifold X. First, we study how algebraic
X can be, i.e. we investigate the algebraic dimension. Second, we study curves
with ample normal bundles in case X is projective. We prove in various cases
that the class of the curve is in the interior of the Mori cone.
