A Study of W6-Curvature Tensor in Sasakian Manifold

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:

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