Riemannian manifolds with positive Yamabe invariant and Paneitz operator

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.

References in corpus (2)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• Sign of Green's function of Paneitz operators and the Q curvature