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arXiv · 1504.00914

Conformal Holonomy Equals Ambient Holonomy

Andreas Čap·A. Rod Gover·C. Robin Graham·Matthias Hammerl
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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.

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Andreas Čap, A. Rod Gover, C. Robin Graham, Matthias Hammerl. 2015-04-03. Conformal Holonomy Equals Ambient Holonomy. https://doi.org/10.2140/pjm.2016.285.303

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