Author/Authors :
TRIPATHI, MUKUT MANI Banaras Hindu University - Faculty of Science - Department of Mathematics, India , GUPTA, PUNAM Banaras Hindu University - Faculty of Science - Department of Mathematics, India
Abstract :
We introduce a new curvature tensor named as the J-curvature tensor. We show that the quasi-conformal, conformal, conharmonic, concircular, pseudo-projective, projective, M-projective, Wi-curvature tensors (i = 0, . . . , 9), W^∗_j -curvature tensors (j = 0, 1) are the particular cases of the J-curvature tensor. Some properties for the J-curvature tensor are given. We obtain the results for J-conservative and J-flat semi-Riemannian manifolds.
