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

Abstract

The object of investigations are almost contact B-metric structures on 3-dimensional Lie groups considered as smooth manifolds. There are established the existence and some geometric characteristics of these manifolds in all basic classes. An example is given as a support of obtained results.

13 pages

References in corpus (1)

• On the structure tensors of almost contact B-metric manifolds

Cited by in corpus (4)

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