Ample vector bundles and del Pezzo manifolds

Let E be an ample vector bundle of rank r on a smooth projective manifold X of dimension n \geq r+3. Pairs (X,E) as above are investigated under the assumption that E has a regular section vanishing anlong a Fano manifold Z of indez dim(Z)-1 and Picard number \rho(Z) \geq 2.