On Submanifolds of Almost r – Contact Structure Manifolds

Abstract

Almost r – contact structure was defined and studied by Vanzura1 and several other geometers including Mishra, Pandey2 and Imai3. Recently, Das, Ram Nivas, S. Ali and M. Ahmad4 have studied quarter symmetric connections and have obtained some interesting results. In this paper, authors have studied submanifolds of an almost r – contact structure manifold. Quarter symmetric (F, G) – connection has also been defined and submanifolds of a manifolds with such connection have been studied. Study of (F, G) geodesic and (F, G) umbilical submanifolds is also the subject matter of this paper.