JP Journal of Geometry and Topology
Volume 20, Issue 4, Pages 295 - 316
(November 2017) http://dx.doi.org/10.17654/GT020040295 |
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CR-SUBMANIFOLDS AND RADICAL TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF KAEHLER MANIFOLDS WITH NORDEN METRIC
Anu Devgan and R. K. Nagaich
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Abstract: In the present paper, we study CR-submanifolds of Kaehler manifolds with respect to one Norden metric and radical transversal lightlike submanifolds of Kaehler manifolds with respect to other Norden metric. Further, we obtain a necessary and sufficient condition for a screen distribution and radical distribution of radical transversal lightlike submanifold of Kaehler manifold with Norden metric to be integrable. Also, we obtain some characterization theorems that provide the relation between the induced geometric objects of these two submanifolds. |
Keywords and phrases: almost complex manifolds, CR-submanifolds, Norden metric, radical transversal lightlike submanifolds. |
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