Hypersurfaces of an almost r-paracontact riemannian manifold with a semi-symmetric non-metric connection

Abstract

We define a semi-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and consider invariant, non-invariant and anti-invariant hypersurfaces, respectively, of almost r-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection.