Weakly asymptotically hyperbolic manifolds
Weakly asymptotically hyperbolic manifolds
We introduce a class of asymptotically geometries whose sectional curvatures tend to $-1$ and are $C^0$, but are not necessarily $C^1$, conformally compact. We subsequently investigate the rate at which curvature invariants at infinity, identifying a conformally invariant tensor which serves as an obstruction to higher order decay of the …