On the normal holonomy representation of spacelike submanifolds in pseudo-Riemannian space forms

Details On the normal holonomy representation of spacelike submanifolds in pseudo-Riemannian space forms On the normal holonomy representation of spacelike submanifolds in pseudo-Riemannian space forms

2008-12-10

arxiv.org/abs/0812.1993v1

Mathematics

Differential Geometry

9 pages

Scientific paper

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.

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