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

Year 2023, Volume: 15 Issue: 2, 355 - 364, 31.12.2023

Mohammad Nazrul Islam Khan , Lovejoy Das

https://doi.org/10.47000/tjmcs.1355887

Cited By: 2

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

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