Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds

Abstract

On a smooth, closed Riemannian manifold $(M,g)$ of dimension $n\ge 3$ with positive scalar curvature and not conformally diffeomorphic to the standard sphere, we prove that the only conformal metrics to $g$ with constant Q-curvature of order 4 are the metrics $\lambda g$ with $\lambda >0$ constant.

References in corpus (5)

• Explicit formulas for GJMS-operators and $Q$-curvatures
• Sign of Green's function of Paneitz operators and the Q curvature
• The profile of bubbling solutions of a class of fourth order geometric equations on 4-manifolds
• Nonuniqueness of conformal metrics with constant $Q$-curvature
• A compactness theorem on Branson's $Q$-curvature equation