Semi-Slant Lightlike Submanifolds of Inde nite Sasakian Manifolds
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In this paper, we introduce the notion of semi-slant lightlike submanifolds ofindefinite Sasakian manifolds giving characterization theorem with some non-trivial examplesof such submanifolds. Integrability conditions of distributions D1, D2 and RadTM onsemi-slant lightlike submanifolds of an indefinite Sasakian manifold have been obtained. We also obtain necessary and sufficient conditions for foliations determined by above distributionsto be totally geodesic.
Abstract
In this paper, we introduce the notion of semi-slant lightlike submanifolds ofindefinite Sasakian manifolds giving characterization theorem with some non-trivial examplesof such submanifolds. Integrability conditions of distributions D1, D2 and RadTM onsemi-slant lightlike submanifolds of an indefinite Sasakian manifold have been obtained. We also obtain necessary and sufficient conditions for foliations determined by above distributionsto be totally geodesic.
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