On Quarter Symmetric Metric Connection in Almost Contact Manifold

Abstract

K. Yano1 studied Semi-symmetric metric connection in a Riemannian manifold. R. S. Mishra and S. N.Pandey2 studied affine connection in almost Grayan manifold. S. Golab3 defined semi-symmetric and quarter symmetric linear connection and derived their properties. A. Sharfuddin and S. I. Husain4 studied semi-symmetric connection in almost contact manifold. In this paper, some properties of an almost contact and almost Grayan manifold admitting quarter symmetric metric connection have been discussed. Certain identities have also been derived.