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Radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds

100%

Shukla S. S. , Yadav A.

tom Vol. 47, nr 4

994--1011

In this paper, we study radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds giving some non-trivial examples of these submanifolds. Integrability conditions of distributions D and RadTM on radical transversal lightlike submanifolds and screen slant radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds, have been obtained. We also study totally contact umbilical radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds.

On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection

100%

Das L. , Ahmad M. , Haseeb A.

2011

tom Vol. 17, nr 1

119-130

We define a semi-symmetric non-metric connection in a nearly Sasakian manifold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.