Codazzi spinors and globally hyperbolic manifolds with special holonomy
Differential Geometry
2016-05-20 v1
Abstract
In this paper we examine the structure of Riemannian manifolds with a special kind of Codazzi tensors. We use them to construct globally hyperbolic Lorentzian manifolds with complete Cauchy hypersurfaces for any weakly irreducible holonomy representation with parallel spinors, i.e. with a holonomy group which is a semidirect product between and one of and .
Cite
@article{arxiv.0704.3725,
title = {Codazzi spinors and globally hyperbolic manifolds with special holonomy},
author = {Helga Baum and Olaf Müller},
journal= {arXiv preprint arXiv:0704.3725},
year = {2016}
}