Two-symmetric Lorentzian manifolds
Differential Geometry
2015-05-20 v3
Abstract
We classify two-symmetric Lorentzian manifolds using methods of the theory of holonomy groups. These manifolds are exhausted by a special type of pp-waves and, like the symmetric Cahen-Wallach spaces, they have commutative holonomy.
Cite
@article{arxiv.1011.3439,
title = {Two-symmetric Lorentzian manifolds},
author = {Dmitri V. Alekseevsky and Anton S. Galaev},
journal= {arXiv preprint arXiv:1011.3439},
year = {2015}
}
Comments
11 pages, the final version