Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds
Differential Geometry
2024-02-23 v1 Analysis of PDEs
Abstract
On a smooth, closed Riemannian manifold of dimension with positive scalar curvature and not conformally diffeomorphic to the standard sphere, we prove that the only conformal metrics to with constant Q-curvature of order 4 are the metrics with constant.
Keywords
Cite
@article{arxiv.2210.07444,
title = {Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds},
author = {Jérôme Vétois},
journal= {arXiv preprint arXiv:2210.07444},
year = {2024}
}