About the Schouten-Weyl tensor on 3-dimensional Lorenzian Lie groups

Autor:	Khromova, O. P., Klepikov, P. N., Klepikova, S. V., Rodionov, E. D.
Rok vydání:	2017
Předmět:	Mathematics - Differential Geometry 53C30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 9 pages, 4 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1708.06614 Zobrazit plný text záznamu View this record from Arxiv