Riemannian manifolds with positive Yamabe invariant and Paneitz operator

2015/02/03 by Gursky, Matthew J., Hang, Fengbo, Lin, Yueh-Ju · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1502.01050

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.

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