Lie groups as 3-dimensional almost contact B-metric manifolds in the main vertical classes
arXiv:1504.01094
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.
arXiv comment6 pages
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