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

نویسندگان

  • Paul C. Yang
  • PAUL C. YANG
چکیده

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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تاریخ انتشار 2004