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The purpose of this study is to examine the complete lifts from the symmetric and concircular symmetric n-dimensional Lorentzian para-Sasakian manifolds (briefly, (L P S) n ) to its tangent bundle T M associated with a Riemannian connection D C and a quarter-symmetric metric connection (QSMC) D ¯ C . [ABSTRACT FROM AUTHOR]

The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle T M . Certain results on a semisymmetric P-Sasakian manifold, generalized recurrent P-Sasakian manifolds, and pseudo-symmetric P-Sasakian manifolds on T M are proved. [ABSTRACT FROM AUTHOR]

In this note, we characterize Sasakian manifolds endowed with ∗ - η -Ricci-Yamabe solitons. Also, the existence of ∗ - η -Ricci-Yamabe solitons in a 5-dimensional Sasakian manifold has been proved through a concrete example. [ABSTRACT FROM AUTHOR]

The object of the present paper is to study generalized Sasakian-space-forms satisfying the curvature condition P(ξ, Y) - W = 0. Moreover, ø-M-projectively semisymmetric and ø-pseudo-projectively semisymmetric generalized Sasakian-space-forms are also 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]

The objective of the present paper is to study some newresults on para-Sasakian manifold with a quarter-symmetric metric connection. We classify the para-Sasakian manifold with respect to the quarter-symmetric metric connection satisfying the conditions P .S = 0, R.S = 0 and S.R = 0. Also, we obtain the conditions for the manifold with a quarter-symmetric metric connection to be ξ-projectively flat and ξ-conformally flat. [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]