Abstract

We define the canonical semi-symmetric semi-metric connection in a nearly Kenmotsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with the canonical semi-symmetric semi-metric connection. Moreover, we discuss the integrability of distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection.

Keywords: Semi-invariant submanifolds; nearly Kenmotsu manifolds; canonical semi-symmetric semi-metric connection; Gauss and Weingarten equations; integrability conditions of distributions.

MSC: 53D15, 53C40, 53C05

Pages:  189$-$198     

Volume  62 ,  Issue  3 ,  2010