Lie groups as 3-dimensional almost contact B-metric manifolds in two main classes

Three-dimensional almost contact B-metric manifolds are constructed by a three-parametric family of Lie groups. It is established the class of the investigated manifolds which has an important geometrical interpretation. It is determined also the type of the constructed Lie algebras in the Bianchi c...

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Bibliographic Details
Main Author Ivanova, Miroslava
Format Journal Article
LanguageEnglish
Published 16.04.2015
Subjects
Mathematics - Differential Geometry
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Summary:Three-dimensional almost contact B-metric manifolds are constructed by a three-parametric family of Lie groups. It is established the class of the investigated manifolds which has an important geometrical interpretation. It is determined also the type of the constructed Lie algebras in the Bianchi classification. There are given some geometric characteristics and properties of the considered manifolds.
DOI:10.48550/arxiv.1504.04151