Mass of $C^0$-asymptotically hyperbolic spaces via the normalized Ricci-DeTurck flow

Abstract

We define a mass function on asymptotically hyperbolic manifolds with continuous metrics via the normalized Ricci DeTurck flow. This definition coincides with the classical mass for smooth metrics. We also introduce the scalar curvature lower bound for continuous metrics a key component in establishing the well-definedness of the continuous mass.