Department of Mathematics, H.N.B. Garhwal University (A Central University), S.R.T Campus Badshahithaul, TehriGarhwal, Uttarakhand, India
*E-mail: monikasati123@gmail.com
Online published on 10 September, 2021.
In the present paper, we study some algebraic and geometric properties of Weyl tensor and Cotton tensor in a Riemannian manifold. Here we find that the Weyl tensor and Cotton tensor yields the traceless properties in a Riemannian curvature tensor. Also by contraction method, we show that the Riemannian tensor and Cotton tensor vanishes identically in a Riemannian manifold. The relative properties of Weyl tensor and Cotton tensor are also investigated.
Weyl tensor, Cotton tensor, Riemannian curvature tensor, Kulkarni-Nomizu product, Manifold, MSC(2010): 53B20, 53B20, 53A45
