Journal
THAI JOURNAL OF MATHEMATICS
Volume 19, Issue 2, Pages 421-430Publisher
CHIANG MAI UNIV, FAC SCIENCE
Keywords
semi-Riemannian manifold; degenerate metric; radical distribution; screen distribution; screen transversal vector bundle; lightlike transversal vector bundle; Gauss and Weingarten formulae
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Funding
- Council of Scientific and Industrial Research (C.S.I.R.) , India
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This paper introduces the concept of screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds, provides characterization theorems and discusses integrability conditions of distributions D-1, D-2 and RadTM on these submanifolds. It also explores necessary and sufficient conditions for totally geodesic foliations determined by certain distributions, as well as mixed geodesic screen semi-slant lightlike submanifolds.
In this paper, we introduce the notion of screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D-1, D-2 and RadTM on screen semi-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic. We also study mixed geodesic screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds.
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