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In the present paper, we define Lorentzian para-Kenmotsu manifolds and study Ricci-pseudosymmetric, Ricci-generalized pseudosymmetric and symmetric conditions to characterize Lorentzian para-Kenmotsu manifolds. Next, we study Lorentzian para-Kenmotsu manifolds satisfying the curva- ture condition S · R = 0. Moreover, we study Ricci solitons on Lorentzian para-Kenmotsu manifolds. Finally, we give an example of a 5-dimensional Lorentzian para-Kenmotsu manifold to verify some results of the paper. [ABSTRACT FROM AUTHOR]

The curvature properties of three-dimensional f-Kenmotsu manifolds have been studied. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to study contact CR-submanifolds of a δ- Lorentzian trans-Sasakian manifold with a quarter symmetric non-metric connection. Also, we investigate the relation between the curvature tensor of δ-Lorentzian trans-Sasakian manifolds and related results with respect to the quarter symmetric non-metric connection and the Levi- Civita connection. [ABSTRACT FROM AUTHOR]

In the present paper, we study certain curvature conditions on the conformal curvature tensor in K-contact manifolds with respect to the quarter-symmetric metric connection. [ABSTRACT FROM AUTHOR]

Some properties of projective curvature tensor in an ∊-Kenmotsu manifold with respect to the semi-symmetric metric connection have been studied. [ABSTRACT FROM AUTHOR]

The objective of the present paper is to study some new results on concircular curvature tensor in a Kenmotsu manifold with respect to the semi-symmetric non-metric connection. [ABSTRACT FROM AUTHOR]

A study of generalized Ricci-recurrent (ϵ, δ)-trans-Sasakian manifold has been made and it is shown that a generalized Ricci-recurrent cosymplectic manifold is always recurrent. Also, generalized Ricci-recurrent (ϵ, δ)-trans-Sasakian of dimension greater or equal to 5 are locally classified . Moreover, it is shown that if M is one of (ϵ)-Sasakian and (δ)-Kenmotsu manifold, then M is an Einstien manifold under certain conditions. [ABSTRACT FROM AUTHOR]

We define a quarter symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, non-invariant and antiinvariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric non-metric connection. [ABSTRACT FROM AUTHOR]