Matrix Lie groups as 3-dimensional almost contact B-metric manifolds
Differential Geometry
2015-06-23 v1
Abstract
The object of investigation are Lie groups considered as almost contact B-metric manifolds of the lowest dimension three. It is established a correspondence of all basic-class-manifolds of the Ganchev-Mihova-Gribachev classification of the studied manifolds and the explicit matrix representation of Lie groups. Some known Lie groups are equiped with almost contact B-metric structure of different types.
Keywords
Cite
@article{arxiv.1503.00312,
title = {Matrix Lie groups as 3-dimensional almost contact B-metric manifolds},
author = {Hristo Manev},
journal= {arXiv preprint arXiv:1503.00312},
year = {2015}
}