Ricci-generalized pseudosymmetric $(κ, μ)$-contact metric manifolds
In this paper we classify Ricci-generalized pseudosymmetric $(κ, μ)$-contact metric manifolds in the sense of Deszcz .
math.DG↗
arXiv subjects
E. Abedi
Publications and source records attributed to E. Abedi.
Submanifolds of a conformal Sasakian manifold
In the present paper first, we define the conformal Sasakian manifolds and then we study geometry of invariant, anti-invariant and CR-submanifolds of conformal Sasakian manifolds.
math.DG↗
CR-hypersurfaces of conformal Kenmotsu space form satisfying certain shape operator conditions
CR-hypersurfaces of conformal Kenmotsu space form satisfying certain shape operator conditions
math.DG↗
Harmonicity of unit vector fields with respect to a class of Riemannian metrics
The isotropic almost complex structures induce a Riemannian metric $g_{δ,σ}$ on TM, which are the generalized type of Sasakian metric. In this paper, the Levi-Civita connection of $g_{δ,σ}$ is calculated and the harmonicity of unit vector fields from $(M, g)$ to $(S(M), i*g_{δ,0})$ is investigated, where $i*g_{δ,0}$ is a particular type of induced metric $i*g_{δ,σ}$. Finally, an important example is presented which satisfies in main theorem of the paper.
math.DG↗