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• W2148657673 abstract "We present a conformal deformation involving a fully nonlinear equation in dimension 4, starting with a metric of positive scalar curvature. Assuming a certain conformal invariant is positive, one may deform from positive scalar curvature to a stronger condition involving the Ricci tensor. A special case of this deformation provides an alternative proof to the main result in Chang, Gursky & Yang, 2002. We also give a new conformally invariant condition for positivity of the Paneitz operator, generalizing the results in Gursky, 1999. From the existence results in Chang & Yang, 1995, this allows us to give many new examples of manifolds admitting metrics with constant Q-curvature." @default.
• W2148657673 created "2016-06-24" @default.
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• W2148657673 date "2003-01-01" @default.
• W2148657673 modified "2023-09-30" @default.
• W2148657673 title "A Fully Nonlinear Equation on Four-Manifolds with Positive Scalar Curvature" @default.
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• W2148657673 doi "https://doi.org/10.4310/jdg/1080835660" @default.
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