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

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.

References in corpus (3)

• Lie groups as 3-dimensional almost contact B-metric manifolds
• On the structure tensors of almost contact B-metric manifolds
• Almost contact B-metric structures and the Bianchi classification of the three-dimensional Lie algebras

Cited by in corpus (2)

• Lie groups as 3-dimensional almost contact B-metric manifolds in two main classes
• Almost contact B-metric manifolds as extensions of a 2-dimensional space-form