23 citations · 93 across the 16 of their papers we have counts for
18 papers
Conformal paraquaternionic contact curvature and the local flatness theorem
Stefan Ivanov, Marina Tchomakova, Simeon Zamkovoy
A tensor invariant is defined on a paraquaternionic contact manifold in terms of the curvature and torsion of the canonical paraquaternionic connection involving derivatives up to…
Geometry of paraquaternionic contact structures
Marina Tchomakova, Stefan Ivanov, Simeon Zamkovoy
We introduce the notion of paraquaternionic contact structures (pqc structures), which turns out to be a generalization of the para 3-Sasakian geometry. We derive a distinguished l…
Slant and Legendre Null Curves in 3-Dimensional Sasaki-like Almost Contact B-Metric Manifolds
Galia Nakova, Simeon Zamkovoy
Object of study in the present paper are slant and Legendre null curves in 3-dimensional Sasaki-like almost contact B-metric manifolds. For the examined curves we express the gener…
A Classification of 3-dimensional paracontact metric manifolds with
Simeon Zamkovoy, Assen Bojilov
We show that a dimensional paracontact manifold on which is either a manifold with , flat or of constant sectional curvature and constant -sec…
On the geometry of trans-para-Sasakian manifolds
Simeon Zamkovoy
In this paper, we introduce the trans-para-Sasakian manifolds and we study their geometry. These manifolds are an analogue of the trans-Sasakian manifolds in the Riemannian geometr…
On para-Kenmotsu manifolds
Simeon Zamkovoy
In this paper we study para-Kenmotsu manifolds. We characterize this manifolds by tensor equations and study their properties. We are devoted to a study of Einstein manifolds.…