On Submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection

Abstract

We study submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection. We prove the induced connection on a submanifold is also quarter symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the quarter-symmetric non-metric connection. We obtain the Gauss, Cadazzi and Ricci equations for submanifolds with
 respect to the quarter-symmetric non-metric connection and show some applications of these equations. Finally, we give two examples verifying the results.