%0 Journal Article %T Classification of Almost Quarter-Pinched Manifolds %A Peter Petersen %A Terence Tao %J Mathematics %D 2008 %I arXiv %X We show that if a simply connected manifold is almost quarter pinched then it is diffeomorphic to a CROSS (a compact rank one symmetric space) or a sphere. %U http://arxiv.org/abs/0807.1900v1