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Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds (2210.07444v1)
Published 14 Oct 2022 in math.DG and math.AP
Abstract: On a smooth, closed Riemannian manifold $(M,g)$ of dimension $n\ge3$ 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.