International Journal of Research and Scientific Innovation (IJRSI) | Volume VI, Issue V, May 2019 | ISSN 2321–2705
A Study of W6-Curvature Tensor in Sasakian Manifold
Wilson Kamami Wanjiru
School of Mathematics, Jomo Kenyatta University of Science and Technology, Nairobi- Kenya.
Abstract: – Pokhariyal have introduced W6– curvature tensors to study their properties. In this paper properties of W6-curvature tensor are studied in Sasakian manifold. The following geometric properties are being studied; flatness, semi-symmetric, symmetric and recurrence on Sasakian manifold. The result show that W6-semi symmetry and symmetric are W6-flat manifold while W6-recurrent manifold (under some condition) is symmetric and semi symmetric manifold.
I. INTRODUCTION
Let (M,F,T,A,g) be (2n+1)-dimensional almost contact metric manifold consisting of a (1, 1) tensor field F,a vector field T,a 1-form A and a Riemannian metric g which satisfies: