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Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds

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Abstract

In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Cosymplectic manifold. We provide a nontrivial example and obtain necessary and sufficient conditions for the existence of a slant lightlike submanifold. Also, we give an example of a minimal slant lightlike submanifold of \({R^{9}_{2}}\) and prove some characterization Theorems.

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Authors and Affiliations

  1. University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University, Kashmere Gate, Delhi, 110006, India

    Ram Shankar Gupta & Abhitosh Upadhyay

  2. Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia (Central University), New Delhi, 110025, India

    A. Sharfuddin

Authors
  1. Ram Shankar Gupta
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  2. Abhitosh Upadhyay
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  3. A. Sharfuddin
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Correspondence to Ram Shankar Gupta.

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Gupta, R.S., Upadhyay, A. & Sharfuddin, A. Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds. Mediterr. J. Math. 8, 215–227 (2011). https://doi.org/10.1007/s00009-010-0077-5

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  • DOI: https://doi.org/10.1007/s00009-010-0077-5

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