Curvature properties of $\alpha$-cosymplectic manifold with Zamkovoy connection

Abstract

This research examines the  Zamkovoy connection on $\alpha$-cosymplectic manifold. We acquired few new outcomes as a result of this connection. We have also investigated several curvature tensors such as Projective, Concircular, Conformal, etc., and also describe projectively flat, concircularly flat and conformally flat with Zamkovoy connection.