Lightlike submanifolds of indefinite para-Sasakian 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, Gauss and Weingarten formulae, totally geodesic and totally umbilical lightlike submanifold

Subjects:

53C15, 53C40, 53C50

Abstract

In this paper, we study invariant, slant andscreen slant lightlike submanifolds of indefinite para-Sasakianmanifolds. We obtain necessary and sufficient conditions forexistence of slant and screen slant lightlike submanifolds ofindefinite para-Sasakian manifolds and also provide non-trivialexamples of such submanifolds. We obtain integrability conditionsof distributions $D$ and $RadTM$ on screen slant lightlikesubmanifolds of indefinite para-Sasakian manifold. Further weobtain sufficient condition for induced connection on screen slantlightlike submanifolds of indefinite para-Sasakian manifold to bemetric connection.

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Published

2014-10-15

Issue

Vol. 66 No. 4 (2014): Vol. 66, Issue 4

Section

Articles

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Copyright (c) 2014 Authors retain copyright to their work.

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