The object of the present paper is to study some properties Kenmotsu manifold whose metric conformal $\eta$-Einstein soliton. We have studied certain admitting also constructed a 3-dimensional satisfying

‎In this paper‎, ‎we‎ ‎consider‎ ‎semi‎ ‎symmetric‎ ‎submanifolds‎ ‎in‎ ‎conformal‎ ‎Kenmotsu‎ ‎manifolds‎ ‎and‎ ‎then ‎using‎ ‎obtained‎ ‎results‎ ‎for‎ ‎this‎ ‎type‎ ‎of‎ ‎submanifolds‎, ‎‎‎we‎ ‎‎‎‎characterize‎ locally symmetric submanifolds of conformal Kenmotsu ‎manifolds‎.

In this paper, we mainly study local structures and curvatures of the almost α-para-Kenmotsu manifolds. particular, locally symmetric manifolds satisfying certain nullity conditions are classified.

We investigate some geometric aspects of lightlike hypersurfaces of indefinite Kenmotsu manifolds, tangent to the structure vector field, by paying attention to the geometry of leaves of integrable distributions. Theorems on parallel vector fields, Killing distribution, geodesibility of those leaves are obtained. The geometrical configuration of such lightlike hypersurfaces and leaves of its sc...

In the present paper, we characterize Ricci symmetric almost Kenmotsu manifolds under several constraints and proved that they are Einstein manifolds. As a consequence, obtain corollaries. Finally, an illustrative example is presented to verify our results.