On Tangent Bundles of Submanifolds of a Riemannian Manifold Endowed with a Quarter-Symmetric Non-metric Connection

Authors : Mohammad Nazrul Islam Khan, Lovejoy Das

Pages : 355-364

Doi:10.47000/tjmcs.1355887

View : 66 | Download : 69

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :The object of this article is to study a quarter-symmetric non-metric connection in the tangent bundle and induced metric and connection on submanifold of co-dimension 2 and hypersurface concerning the quarter-symmetric non-metric connection in the tangent bundle. The Weingarten equations concerning the quarter-symmetric non-metric connection on a submanifold of co-dimension 2 and the hypersurface in the tangent bundle are obtained. Finally, authors deduce the Riemannian curvature tensor and Gauss and Codazzi equations on a submanifold of co-dimension 2 and hypersurface of the Riemannian manifold concerning the quarter-symmetric non-metric connection in the tangent bundle.
Keywords : Tangent bundle, connection, Gauss equation, mathematical operators, Weingarten equation, Codazzi equation, partial differential equations, curvature tensor, submanifold