Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with zero Schouten-Weyl tensor
Differential Geometry
2016-11-04 v1
Abstract
In the presented paper left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with zero Schouten-Weyl tensor are investigated. The complete classification of these metric Lie groups is obtained in terms of the structure constants of corresponding Lie algebras.
Keywords
Cite
@article{arxiv.1611.00916,
title = {Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with zero Schouten-Weyl tensor},
author = {Olesya P. Khromova and Pavel N. Klepikov and Eugene D. Rodionov},
journal= {arXiv preprint arXiv:1611.00916},
year = {2016}
}
Comments
12 pages, 2 tables