%0 Journal Article %T Characterizations of projective spaces and hyperquadrics %A Druel St¨¦phane %A Paris Matthieu %J Mathematics %D 2010 %I arXiv %X In this paper we prove that if the r-th tensor power of the tangent bundle of a smooth projective variety X contains the determinant of an ample vector bundle of rank at least r, then X is isomorphic either to a projective space or to a smooth quadric hypersurface. %U http://arxiv.org/abs/1012.5238v1