Matrix Lie groups as 3-dimensional almost contact B-metric manifolds

Hristo Manev

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arXiv · 1503.00312

Matrix Lie groups as 3-dimensional almost contact B-metric manifolds

Hristo Manev

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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.

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Hristo Manev. 2015-03-01. Matrix Lie groups as 3-dimensional almost contact B-metric manifolds. https://arxiv.org/abs/1503.00312

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