Screen Semi-Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds

Shiv Sharma Shukla, Akhilesh Yadav

Authors

  • Support Team

Keywords:

semi-Riemannian manifold, degenerate metric, radical distribution, screen distribution, screen transversal vector bundle, lightlike transversal vector bundle, Gauss and Weingarten formulae

Abstract

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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Published

2021-06-01

How to Cite

Team, S. (2021). Screen Semi-Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds: Shiv Sharma Shukla, Akhilesh Yadav. Thai Journal of Mathematics, 19(2), 421–430. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1166

Issue

Vol. 19 No. 2 (2021): June

Section

Articles