On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds (Q2399772)

A brief review of results on Dirac operators is given. A version of the holographic principle is proved, for imaginary Killing spinors on domains whose scalar curvature is bounded from below by a negative constant. Some important results on the limit at infinity of the vector-valued Brown-York quasi-local mass along any coordinate exhaustion of an asymptotically hyperbolic 3-dimensional manifold are presented.