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

Mathematics – Differential Geometry

Scientific paper

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79 pages, published version

Scientific paper

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.

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