Abstract

The object of the present paper is to study slant submanifolds of an $N(k)$-contact metric manifold. We study the parallelism of $Q$, and find out necessary and sufficient conditions for the existence of proper slant submanifolds of $N(k)$-contact metric manifolds.

Keywords: Slant submanifold; $N(k)$-contact metric manifold; autoparallel.

MSC: 53C15, 53C40

Pages:  197$-$203     

Volume  65 ,  Issue  2 ,  2013