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 (7)

• Matrix Lie groups as 3-dimensional almost contact B-metric manifolds
• Yamabe Solitons on Conformal Almost Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field
• Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds
• 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
• Lie groups as 3-dimensional almost contact B-metric manifolds in two main classes
• Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure