Conformal Holonomy Equals Ambient Holonomy
Differential Geometry
2016-11-30 v1
Abstract
This paper studies the relation between two notions of holonomy on a conformal manifold. The first is the conformal holonomy, defined to be the holonomy of the normal tractor connection. The second is the holonomy of the Fefferman-Graham ambient metric of the conformal manifold. It is shown that the infinitesimal conformal holonomy and the infinitesimal ambient holonomy always agree up to the order that the ambient metric is defined.
Keywords
Cite
@article{arxiv.1504.00914,
title = {Conformal Holonomy Equals Ambient Holonomy},
author = {Andreas Čap and A. Rod Gover and C. Robin Graham and Matthias Hammerl},
journal= {arXiv preprint arXiv:1504.00914},
year = {2016}
}
Comments
13 pages