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Radical transversal lightlike submanifolds of indefinite para-Sasakian manifolds

Shukla S. S., Yadav A.

Demonstratio Mathematica

2014

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.

Lightlike submanifolds of indefinite quartenion Kaehler manifolds

Sahin B.

Demonstratio Mathematica

2007

Vol. 40, nr 3

701-720

We define and study both screen QR-lightlike and screen CR-lightlike submanifolds of an indefinite quaternion Kaehler manifold. We show that screen QR-lightlike submanifolds include quaternion submanifolds and screen CR-lightlike submanifolds include quaternion as well as screen real lightlike submanifolds. We also give some examples of screen QR-lightlike and screen CR-lightlike submanifolds.