On the normal holonomy representation of spacelike submanifolds in pseudo-Riemannian space forms
Differential Geometry
2008-12-11 v1
Abstract
In this paper we study weakly irreducible holonomy representations of the normal connection of a spacelike submanifold in a pseudo-Riemannian space from. We associate screen representations to weakly irreducible normal holonomy groups and classify the screen representations having the Borel-Lichn\'erowicz property. In particular, we derive a classification of Lorentzian normal holonomy representations.
Keywords
Cite
@article{arxiv.0812.1993,
title = {On the normal holonomy representation of spacelike submanifolds in pseudo-Riemannian space forms},
author = {Kordian Lärz},
journal= {arXiv preprint arXiv:0812.1993},
year = {2008}
}
Comments
9 pages