• Title/Summary/Keyword: screen slant lightlike submanifold

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Screen Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

  • Haider, S.M. Khursheed;Advin, Advin;Thakur, Mamta
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.443-457
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    • 2012
  • In this paper, we introduce screen slant lightlike submanifold of an indefinite Sasakian manifold and give examples. We prove a characterization theorem for the existence of screen slant lightlike submanifolds. We also obtain integrability conditions of both screen and radical distributions, prove characterization theorems on the existence of minimal screen slant lightlike submanifolds and give an example of proper minimal screen slant lightlike submanifolds of $R_2^9$.

Screen Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

  • Gupta, Ram Shankar;Upadhyay, Abhitosh
    • Kyungpook Mathematical Journal
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    • v.50 no.2
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    • pp.267-279
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    • 2010
  • In this paper, we introduce the notion of a screen slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide characterization theorem for existence of screen slant lightlike submanifold with examples. Also, we give an example of a minimal screen slant lightlike submanifold of $R_2^9$ and prove some characterization theorems.