Q curvature on a class of manifolds with dimension at least 5
Differential Geometry
2015-10-07 v4 Analysis of PDEs
Abstract
For a smooth compact Riemannian manifold with positive Yamabe invariant, positive Q curvature and dimension at least 5, we prove the existence of a conformal metric with constant Q curvature. Our approach is based on the study of extremal problem for a new functional involving the Paneitz operator.
Keywords
Cite
@article{arxiv.1411.3926,
title = {Q curvature on a class of manifolds with dimension at least 5},
author = {Fengbo Hang and Paul C. Yang},
journal= {arXiv preprint arXiv:1411.3926},
year = {2015}
}
Comments
Material reorganized. References updated. To appear in Comm. Pure. Appl. Math