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

Abstract

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.

7 pages. arXiv admin note: substantial text overlap with arXiv:1504.01094

References in corpus (4)

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