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

Abstract

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