About the Schouten-Weyl tensor on 3-dimensional Lorenzian Lie groups
Differential Geometry
2017-08-23 v1
Abstract
The main purpose of this paper is to investigate the Schouten-Weyl tensor on the three-dimensional Lie groups with left-invariant Lorenzian metrics. The left-invariant Lorentzian metrics on the three-dimensional Lie groups with squared length zero Schouten-Weyl tensor are studied. Moreover, the three-dimensional metric Lie groups with almost harmonic (i.e. with zero curl and divergence) Schouten-Weyl tensor are investigated. In addition, the question about the harmonicity of contraction of the Schouten-Weyl tensor is considered.
Keywords
Cite
@article{arxiv.1708.06614,
title = {About the Schouten-Weyl tensor on 3-dimensional Lorenzian Lie groups},
author = {O. P. Khromova and P. N. Klepikov and S. V. Klepikova and E. D. Rodionov},
journal= {arXiv preprint arXiv:1708.06614},
year = {2017}
}
Comments
9 pages, 4 tables