A classification theorem for Fano bundles.

In this paper we classify rank two Fano bundles $cE$ on Fano manifolds satisfying $H^2(X,Z)cong H^4(X,Z)congZ$. The classification is obtained via the computation of the nef and pseudoeffective cones of the projectivization $P(cE)$, that allows us to obtain the cohomological invariants of $X$ and $cE$. As a by-product we discuss Fano bundles associated to congruences of lines, showing that their varieties of minimal rational tangents may have several linear components.