Abstract
The objects of the present paper is to characterize generalized Sasakian-space-form satisfying certain curvature conditions on T curavature tensor . In this paper we study T semisymmetric, T flat, T flat and T recurrent generalized Sasakian-space-forms. Generalized Sasakian-space-form satisfying T:S = 0 and T:R = 0 have also been studied. Keywords: T curvature tensor, Generalized Sasakian manifold, T semisymmetric, T flat and T -flat .
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