Q curvature on a class of manifolds with dimension at least 5
classification
🧮 math.DG
math.AP
keywords
curvaturedimensionleastpositiveapproachclasscompactconformal
read the original 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 extremal problem for a new functional involving the Paneitz operator.
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