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arXiv · 1504.01094

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

Miroslava Ivanova
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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.

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Miroslava Ivanova. 2015-04-05. Lie groups as 3-dimensional almost contact B-metric manifolds in the main vertical classes. https://arxiv.org/abs/1504.01094

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