Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
By Lars-Erik Andersson, Mingliang Cai, G. Galloway. 2007
133 citations recorded by the source corpus.
Abstract.The Witten spinorial argument has been adapted in several works over the years to prove positivity of mass in the asymptotically AdS and asymptotically hyperbolic settings in arbitrary dimensions. In this paper we prove a scalar curvature rigidity result and a positive mass theorem for asymptotically hyperbolic manifolds that do not require a spin assumption. The positive mass theorem is reduced to the rigidity case by a deformation construction near the conformal boundary. The proof of the rigidity result is based on a study of minimizers of the BPS brane action.
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/b8256bda9009dcb4e4dadba8c928c4f308e67e2e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Geometry and Topology
In Nuclear and High Energy Physics
Citations in the corpus
- Rigidity of Area-Minimizing Hyperbolic Surfaces in Three-Manifolds (2011, background): “We note that a related rigidity result for constant mean curvature surfaces of genus 1 was obtained in [1].”