2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95665In the late 50's A. Van de Ven stated that the only compact submanifolds with splitting tangent sequence of the projective space are linear subspaces. In this paper a classification of all submanifolds with splitting tangent sequence of some further classes of (homogeneous) manifolds is given, like quadrics or abelian varieties.15 pages, LaTeX2e; Proposition 5.4. changed, proof of Theorem 6.3. modified; final versionAlgebraic Geometry14E25;14M17;32C25text