An equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvature

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72678We 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.79 pages, published versionDifferential GeometryAnalysis of PDEsAn equation of Monge-Ampere type in conformal geometry, and four-manifolds of positive Ricci curvaturetext