Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NOTE ON SEMI-SLANT LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD

  • Kaur, Ramandeep (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Shanker, Gauree (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Yadav, Ankit (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Ali, Akram (Department of Mathematics, College of Science, King Khalid University)
  • Received : 2020.11.13
  • Accepted : 2021.01.21
  • Published : 2021.03.25
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Abstract

In this paper, we study the geometry of semi-slant lightlike submanifolds of an indefinite Kenmotsu manifold. The integrability conditions of distributions D1 ⊕ {V}, D2 ⊕ {V} and RadTM on semi-slant lightlike submanifolds of an indefinite Kenmotsu manifold are defined. Furthermore, we derive necessary and sufficient conditions for the above distributions to have totally geodesic foliations.

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References

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