On a Sharp Inequality Relating Yamabe Invariants on a Poincare-Einstein Manifold

Abstract

For a Poincare-Einstein manifold under certain restrictions, X. Chen, M. Lai and F. Wang proved a sharp inequality relating Yamabe invariants. We show that the inequality is true without any restriction.

References in corpus (1)

• Barycenter technique and the Riemann mapping problem of Escobar