Lie groups as 3-dimensional almost contact B-metric manifolds in two main classes
arXiv:1504.04151
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.
arXiv comment7 pages. arXiv admin note: substantial text overlap with arXiv:1504.01094
References in corpus (7)
- Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric
- Lie groups as 3-dimensional almost contact B-metric manifolds
- On the structure tensors of almost contact B-metric manifolds
- A classification of the torsion tensors on almost contact manifolds with B-metric
- A natural connection on some classes of almost contact manifolds with B-metric
- 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