Lie groups as 3-dimensional almost contact B-metric manifolds in the main vertical classes
Differential Geometry
2015-04-07 v1
Abstract
Almost contact B-metric manifolds of dimension 3 are constructed by a two-parametric family of Lie groups. The class of these manifolds in a known classification of almost contact B-metric manifolds is determined as the direct sum of the main vertical classes. The type of the corresponding Lie algebras in the Bianchi classification is given. Some geometric characteristics and properties of the considered manifolds are obtained.
Keywords
Cite
@article{arxiv.1504.01094,
title = {Lie groups as 3-dimensional almost contact B-metric manifolds in the main vertical classes},
author = {Miroslava Ivanova},
journal= {arXiv preprint arXiv:1504.01094},
year = {2015}
}
Comments
6 pages