The object of the present paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, -conharmonically flat, and conharmonically recurrent generalized Sasakian-space-forms. Also generalized Sasakian-space-forms satisfying and have been studied.
Abstract. The object of the present paper is to study a semi-symmetric metric connection in an (ε)-Kenmotsu manifold. In this paper, we study a semi-symmetric metric connection in an (ε)-Kenmotsu manifold whose projective curvature tensor satisfies certain curvature conditions.
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