In this paper (ϕ, ϕ0 )-holomorphic maps from an almost paraHermitian manifold to an almost paracontact metric manifold are studied and a criterion for the harmonicity of such (ϕ, ϕ0 )-holomorphic maps is obtained. Also (ϕ, ϕ0 )-holomorphic sections of (semi−Riemannian) almost paracontact fiber bundles of type II are studied and a criterion for the harmonicity of such (ϕ, ϕ0 )-holomorphic sections is obtained.
In this paper, our concern is to introduce the concepts of invariant arithmetic convergence, invariant arithmetic statistically convergence and lacunary invariant arithmetic statistically convergence using weighted density via Orlicz function φe. Finally, we give some relations between lacunary invariant arithmetic statistical φe-convergence and invariant arithmetic statistical φe-convergence via weighted density
In this paper, our concern is to introduce the concepts of invariant arithmetic convergence, invariant arithmetic statistically convergence and lacunary invariant arithmetic statistically convergence using weighted density via Orlicz function φe. Finally, we give some relations between lacunary invariant arithmetic statistical φe-convergence and invariant arithmetic statistical φe-convergence via weighted density.
In this paper (ϕ, ϕ0 )-holomorphic maps from an almost paraHermitian manifold to an almost paracontact metric manifold are studied and a criterion for the harmonicity of such (ϕ, ϕ0 )-holomorphic maps is obtained. Also (ϕ, ϕ0 )-holomorphic sections of (semi−Riemannian) almost paracontact fiber bundles of type II are studied and a criterion for the harmonicity of such (ϕ, ϕ0 )-holomorphic sections is obtained.
Harmonicity of $(\varphi,\varphi^{\prime})$-holomorphic sections of a (semi-riemannian) almost paracontact fiber bundle of type II