An Isaac Newton Institute Workshop

Einstein Constraint Equations

Rigidity and positivity of mass for asymptotically hyperbolic manifolds

16th December 2005

Author: Greg Galloway (Miami)

Abstract

We discuss an approach to the proof of positivity of mass without spin assumption, for asymptotically hyperbolic Riemannian manifolds, based on the general methodology of Schoen and Yau. Our approach makes use of the "BPS brane action" introduced by Witten and Yau in their work on the AdS/CFT correspondence, and takes hints from work of Lohkamp. This is joint work with Lars Andersson and Mingliang Cai.