29 citations · 121 across the 23 of their papers we have counts for
5 papers · 2 filters
Almost contact B-metric structures and the Bianchi classification of the three-dimensional Lie algebras
Hristo Manev
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 class…
On some Lie groups as 5-dimensional almost contact B-metric manifolds with three natural connections
Miroslava Ivanova, Hristo Manev
Almost contact manifolds with B-metric are considered. There are studied three natural connections (i.e. linear connections preserving the structure tensors) determined by conditio…
Lie groups as 3-dimensional almost contact B-metric manifolds
Hristo Manev, Dimitar Mekerov
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 geometr…
On the structure tensors of almost contact B-metric manifolds
Hristo Manev
The space of the structure (0,3)-tensors of the covariant derivatives of the structure endomorphism and the metric on almost contact B-metric manifolds is considered. A known decom…
Sasaki-like almost contact complex Riemannian manifolds
Stefan Ivanov, Hristo Manev, Mancho Manev
A Sasaki-like almost contact complex Riemannian manifold is defined as an almost contact complex Riemannian manifold which complex cone is a holomorphic complex Riemannian manifold…