Computing asymptotic invariants with the Ricci tensor on asymptotically flat and hyperbolic manifolds
Differential Geometry
2016-04-25 v3
Abstract
We prove in a simple and coordinate-free way the equivalence bteween the classical definitions of the mass or the center of mass of an asymptotically flat manifold and their alternative definitions depending on the Ricci tensor and conformal Killing fields. This enables us to prove an analogous statement in the asymptotically hyperbolic case.
Keywords
Cite
@article{arxiv.1503.00508,
title = {Computing asymptotic invariants with the Ricci tensor on asymptotically flat and hyperbolic manifolds},
author = {Marc Herzlich},
journal= {arXiv preprint arXiv:1503.00508},
year = {2016}
}
Comments
Accepted for publication in Annales Henri Poincar{\'e}