A new connection in a Riemannian manifold

Abstract

In a Riemannian manifold, the existence of a new connection is proved. In particular cases, this connection reduces to several symmetric, semi-symmetric and quarter-symmetric connections; even some of them are not introduced so far. We also find formula for curvature tensor of this new connection.

14 pages. to appear in International Electronic Journal of Geometry

Cited by in corpus (3)

• Multiply Warped Products with a Quarter-symmetric Connection
• Tripathi Connection in Finsler Geometry
• Some Characterizations in Kenmotsu manifolds with a new connection