[PDF][PDF] Semi-slant lightlike submanifolds of indefinite Kaehler manifolds
We introduce the notion of semi-slant lightlike submanifolds of indefinite Kaehler manifolds
giving a characterization theorem with some nontrivial examples of such submanifolds.
Integrability conditions of distributions D1, D2 and Rad TM on semi-slant lightlike
submanifolds of indefinite Kaehler manifolds have been obtained. We also obtain necessary
and sufficient conditions for foliations determined by the above distributions to be totally
geodesic.
giving a characterization theorem with some nontrivial examples of such submanifolds.
Integrability conditions of distributions D1, D2 and Rad TM on semi-slant lightlike
submanifolds of indefinite Kaehler manifolds have been obtained. We also obtain necessary
and sufficient conditions for foliations determined by the above distributions to be totally
geodesic.
Abstract
We introduce the notion of semi-slant lightlike submanifolds of indefinite Kaehler manifolds giving a characterization theorem with some nontrivial examples of such submanifolds. Integrability conditions of distributions D1, D2 and Rad TM on semi-slant lightlike submanifolds of indefinite Kaehler manifolds have been obtained. We also obtain necessary and sufficient conditions for foliations determined by the above distributions to be totally geodesic.
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