Radical transversal screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds

Authors

  • S. S. Shukla Department of Mathematics, University of Allahabad, Allahabad-211002, India Author
  • Akhilesh Yadav Department of Mathematics, University of Allahabad, Allahabad-211002, India Author

Keywords:

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

Subjects:

53C15, 53C40, 53C50

Abstract

In this paper, we introduce the notion of radicaltransversal screen semi-slant lightlike submanifolds of indefiniteKaehler manifolds giving characterization theorem with somenon-trivial examples of such submanifolds. Integrabilityconditions of distributions $D_1$, $D_2$ and $RadTM$ on radicaltransversal screen semi-slant lightlike submanifolds of indefiniteKaehler manifolds have been obtained. Further, we obtain necessaryand sufficient conditions for foliations determined by abovedistributions to be totally geodesic.

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Published

2016-04-15

Issue

Vol. 68 No. 2 (2016): Vol. 68, Issue 2

Section

Articles

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Copyright (c) 2016 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.