Almost contact B-metric structures and the Bianchi classification of the three-dimensional Lie algebras
arXiv:1412.8142
Abstract
The object of investigation are the almost contact manifolds with B-metric in the lowest dimension three, constructed on Lie algebras. It is considered a relation between the classes in the Bianchi classification of three-dimensional real Lie algebras and the classes of a classification of the considered manifolds. There are studied some geometrical characteristics in some special classes.
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