%0 Journal Article %T An equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvature %A Sun-Yung A. Chang %A Matthew J. Gursky %A Paul C. Yang %J Mathematics %D 2004 %I arXiv %X We formulate natural conformally invariant conditions on a 4-manifold for the existence of a metric whose Schouten tensor satisfies a quadratic inequality. This inequality implies that the eigenvalues of the Ricci tensor are positively pinched. %U http://arxiv.org/abs/math/0409583v1