On Uniqueness And Existence of Conformally Compact Einstein Metrics with Homogeneous Conformal Infinity. II

Gang Li

In this paper we show that for an $\text{Sp}(k+1)$ invariant metric $\hat{g}$ on ${\mathbb{S}}^{4k+3}$ $(k\ge 1)$ close to the round metric, the conformally compact Einstein (CCE) m…