Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Screen Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

  • Haider, S.M. Khursheed (Department of Mathematics, Faculty of Natural Sciences) ;
  • Advin, Advin (Department of Mathematics, Faculty of Natural Sciences) ;
  • Thakur, Mamta (Department of Mathematics, Faculty of Natural Sciences)
  • Received : 2010.12.08
  • Accepted : 2012.10.09
  • Published : 2012.12.23
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Abstract

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 $R_2^9$.

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References

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Cited by

  1. Screen Pseudo-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds vol.13, pp.2, 2016, https://doi.org/10.1007/s00009-015-0526-2