Semi-invariant submanifolds of a Kenmotsu manifold with a generalized almost r-contact structure admitting a semi-symmetric metric connection

Abstract

We consider an almost r-contact Kenmotsu manifold admitting a semi-symmetric metric connection and study semi-invariant submanifolds of an almost r-contact Kenmotsu manifold endowed with a semi-symmetric meric connection. We obtain Gauss and Weingarten formuale for such a connection and also discuss the integrability conditions of the distributions on a generalized Kenmotsu manifold.