Investigations of a Riemannian manifold with a quarter symmetric metric (QSM) connection to its tangent bundle
Investigations of a Riemannian manifold with a QSM connection
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Keywords:
Connection, Gauss equation, Weingarten equation, Codazzi equation, Curvature tensor, Mathematical operators, Partial differential equations, Submanifold, Tangent bundleAbstract
The present paper aims to study a quarter symmetric metric connection in the
tangent bundle and investigate an induced metric and connection on a submanifold
of co-dimension 2 and hypersurface concerning the QSM connection in the tangent
bundle TM. Totally geodesic (TG) and totally umbilical (TU) concerning the QSM
connection on the submanifold of co-dimension 2 and hypersurface in TM are obtained.
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