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The main purpose of this paper is to study η-Ricci–Yamabe solitons (η-RYS) and * {*} -η-Ricci–Yamabe solitons ( * {*} -η-RYS) in Lorentzian para-Kenmotsu n-manifolds (briefly, ( LPK ) n {(\mathrm{LPK})_{n}} ). We study the curvature condition R . S = 0 {R.S=0} and the cyclic parallel Ricci tensor in ( LPK ) n {(\mathrm{LPK})_{n}} admitting η-RYS. Furthermore, we study M-projectively flat and quasi-M-projectively flat Lorentzian para-Kenmotsu manifolds admitting * {*} -η-RYS. Finally, we give two examples of Lorentzian para-Kenmotsu manifolds admitting η-RYS and * {*} -η-RYS to verify some of our results. [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 objective of the present paper is to study some new results on quasi-conformal curvature tensor in a Kenmotsu manifold with respect to a semi-symmetric non-metric connection. [ABSTRACT FROM AUTHOR]