Thesis (Ph.D.)--State University of New York at Stony Brook, 2005
We study the Dirichlet problem for conformally compact Einstein metrics on 5-manifolds with globally static isometric circle actions. As an application of our general results we show that any non-flat analytic warped product metric on S3 x SI with non-negative scalar curvature is the conformal infinity of some Einstein metric on B4 x SI
