On the Conharmonic Curvature Tensor of Generalized Sasakian-Space-Forms. (25th December 2012) - De, U. C.
Abstract : 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, ξ -conharmonically flat, and conharmonically recurrent generalized Sasakian-space-forms. Also generalized Sasakian-space-forms satisfying C ~ ~ · S = 0 and C ~ ~ · R = 0 have been studied.