Riemannian manifolds with positive Yamabe invariant and Paneitz operator
Differential Geometry
2015-04-14 v3
Abstract
For a Riemannian manifold with dimension at least six, we prove that the existence of a conformal metric with positive scalar and Q curvature is equivalent to the positivity of both the Yamabe invariant and the Paneitz operator.
Keywords
Cite
@article{arxiv.1502.01050,
title = {Riemannian manifolds with positive Yamabe invariant and Paneitz operator},
author = {Matthew J. Gursky and Fengbo Hang and Yueh-Ju Lin},
journal= {arXiv preprint arXiv:1502.01050},
year = {2015}
}