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Q ‐Curvature on a Class of Manifolds with Dimension at Least 5
Fengbo Hang, Paul C. Yang
Source abstract
Abstract For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q ‐curvature, and dimension at least 5, we prove the existence of a conformal metric with constant Q ‐curvature. Our approach is based on the study of an extremal problem for a new functional involving the Paneitz operator.© 2016 Wiley Periodicals, Inc.
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