Compactness for conformal metrics with constant Q curvature on locally conformally flat manifolds

Qing, Jie; Raske, David
July 2006
Calculus of Variations & Partial Differential Equations;Jul2006, Vol. 26 Issue 3, p343
Academic Journal
In this note we study the conformal metrics of constant Q curvature on closed locally conformally flat manifolds. We prove that for a closed locally conformally flat manifold of dimension n = 5 and with Poincar� exponent less than $$\frac {n-4}2$$ , the set of conformal metrics of positive constant Q and positive scalar curvature is compact in the C8 topology.


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