A new connection in a Riemannian manifold

Authors : Mukut MANİ TRİPATHİ

Pages : 15-24

View : 15 | Download : 8

Publication Date : 2008-04-30

Article Type : Research Paper

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 found formula for curvature tensor of this new connection.
Keywords : Hayden connection, Levi Civita connection, Weyl connection, semi symmetric connection, semi symmetric metric connection, semi symmetric non metric connection, semi symmetric recurrent metric connection, quarter symmetric connection, quarter symmetric metric conn