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arXiv · 2210.07444

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

Jérôme Vétois
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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.

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Jérôme Vétois. 2022-10-14. Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds. https://doi.org/10.1007/s11118-023-10117-1

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