Study on generalised pseudo (Ricci) symmetric Sasakian manifold admitting general connection

Abstract

The object of the present paper is to study the generalized pseudo (Ricci) symmetric Sasakian manifold with respect to a new connection named general connection. The general connection has the flavor of the quarter-symmetric connection, generalized Tanaka-Webster connection, Zamkovoy, and Schouten- van Kampen connection. The existence of generalized pseudo (Ricci) symmetric Sasakian manifold with respect to general connection is ensured by an example.