Fractional Yamabe problem on locally flat conformal infinities of Poincare-Einstein manifolds

Martin Mayer, Cheikh Birahim Ndiaye

We study in this paper the fractional Yamabe problem first considered by Gonzalez-Qing on the conformal infinity $(M^n,[h])$ of a Poincaré-Einstein manifold $(X^{n+1},g^{+})$ wi…