2 problems

Let $(X,g_+)$ be a conformally compact Einstein manifold with compactification $(\overline X,\overline g)$ and boundary $N$, and suppose that $\Lambda^\gamma(N,[\overline g|_N])>0$…

Let $\gamma \in (0,1)$, $n > 2\gamma$, and let $(X^{n+1},g^+)$ be Poincaré–Einstein. Suppose that $\Lambda^{\gamma}(M,[\hat{h}])>0$ and that either $(M^n,[\hat{h}])$ is locally con…