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

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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.
79 pages, published version

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Differential Geometry, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/72678

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409583
 http://arxiv.org/abs/math/0409583
 Ann. of Math. (2), Vol. 155 (2002), no. 3, 709--787

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