An equation of Monge Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
Pages 709-787 from Volume 155 (2002), Issue 3 by Sun-Yung A. Chang, Matthew J. Gursky, Paul C. Yang
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.
Sun-Yung A. Chang
Matthew J. Gursky
Paul C. Yang