THE GEOMETRY INVARIANT PSEUDOPARALLEL SUBMANIFOLD OF SASAKIAN MANIFOLDS EQUIPPED WITH A GENERAL CONNECTION

The aim of the present paper is to study invariant pseudo-parallel submanifolds of a Sasakian manifold admitting a general connection. We investigate the necessary and sufficient conditions for an invariant pseudo-parallel submanifold to be totally geodesic with respect to the general connection, and the structures induced by the ambient manifold under certain conditions. The obtained results are evaluated.