Intrinsic characterization for Lipschitz asymptotically hyperbolic metrics, to appear

Abstract

Conformally compact asymptotically hyperbolic metrics have been inten-sively studied. The goal of this note is to understand what intrinsic condi-tions on a complete Riemannian manifold (M, g) will ensure that g is AH in this sense. We use the geodesic compactification by asymptotic geodesic rays to compactify M and appropriate curvature decay conditions to study the regularity of the conformal compactification. 1