Classification of almost contact metric structures on three-dimensional non-unimodular Lie groups
Differential Geometry
2020-02-12 v1 Mathematical Physics
Metric Geometry
math.MP
Quantum Algebra
Abstract
In this paper, left-invariant almost contact metric structures on three-dimensional non-unimodular Lie groups are investigated. It is proved that for every Riemannian Lie group, there is one of these structures. In addition, left-invariant normal almost contact metric structures on three dimensional non-unimodular Lie groups are classified.
Cite
@article{arxiv.2002.04331,
title = {Classification of almost contact metric structures on three-dimensional non-unimodular Lie groups},
author = {Pejhman Vatandoost-Miandehi and A. Razavi},
journal= {arXiv preprint arXiv:2002.04331},
year = {2020}
}