Classification of third-order symmetric Lorentzian manifolds
Differential Geometry
2018-08-21 v1
Abstract
Third-order symmetric Lorentzian manifolds, i.e. Lorentzian manifold with zero third derivative of the curvature tensor, are classified. These manifolds are exhausted by a special type of pp-waves, they generalize Cahen-Wallach spaces and second-order symmetric Lorentzian spaces.
Keywords
Cite
@article{arxiv.1407.3594,
title = {Classification of third-order symmetric Lorentzian manifolds},
author = {Anton S. Galaev},
journal= {arXiv preprint arXiv:1407.3594},
year = {2018}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1011.3439