In this paper, some properties of m−projective curvature tensor in Kenmotsu manifolds are studied.

In this paper we study weakly symmetric and special weakly Ricci symmetric Lorentzian β-Kenmotsu manifolds and obtained some interesting results. 2000 Mathematics Subject Classification: 53C10, 53C15.

We extend the notion of generalized φ-recurrent β-Kenmotsu manifold and study its various geometric properties with the existence of such notion.

In the context of paracontact geometry, η-Ricci solitons are considered on manifolds satisfying certain curvature conditions: R(ξ,X) · S = 0, S · R(ξ,X) = 0, W2(ξ,X) · S = 0 and S · W2(ξ,X) = 0. We prove that on a para-Kenmotsu manifold (M,φ, ξ, η, g), the existence of an η-Ricci soliton implies that (M, g) is quasi-Einstein and if the Ricci curvature satisfies R(ξ,X) · S = 0, then (M, g) is Ei...

Purpose Cotton soliton is a newly introduced notion in the field of Riemannian manifolds. The object this article to study properties on certain contact metric Design/methodology/approach authors consider almost Kenmotsu 3-manifolds. use local basis manifold that helps terms partial differential equations. Findings First potential vector pointwise collinear with Reeb and prove non-existence suc...

The object of the present paper is to study weakly concircular symmetric and weakly concircular Ricci symmetric Kenmotsu manifolds.

The aim of this paper is to characterize 3-dimensional almost Kenmotsu manifolds with ξ belonging to the (k, μ)′-nullity distribution and h′ 6= 0 satisfying certain geometric conditions. Finally, we give an example to verify some results.