On slant submanifolds of $N(k)$-contact metric manifolds

Avik De

On slant submanifolds of $N (k)$ -contact metric manifolds

Authors

Avik De Department of Pure Mathematics, University of Calcutta, 35, B.C.Road, Kolkata $- 700019$ , West Bengal, India Author

Keywords:

Slant submanifold,

N (k)

-contact metric manifold, autoparallel

Subjects:

53C15, 53C40

Abstract

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