호남수학학술지 (Honam Mathematical Journal)

  • 제43권2호
  • /
  • Pages.239-258
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  • 2021
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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SLANT LIGHTLIKE SUBMANIFOLDS OF INDEFINITE NEARLY KAEHLER MANIFOLDS

  • Kumar, Tejinder (Department of Mathematics, Maharaja Agrasen University) ;
  • Kumar, Sangeet (Department of Mathematics, Sri Guru Teg Bahadur Khalsa College) ;
  • Kumar, Pankaj (Department of Mathematics, Maharaja Agrasen University)
  • 투고 : 2021.01.07
  • 심사 : 2021.04.28
  • 발행 : 2021.06.25
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초록

In the present paper, we introduce the study of slant lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving some geometric results for the existence of slant lightlike submanifolds of indefinite nearly Kaehler manifolds, we give a non-trivial example of this class of lightlike submanifolds. Then, we derive some conditions for the integrability of the distributions associated with slant lightlike submanifolds of indefinite nearly Kaehler manifolds. Consequently, we study totally umbilical slant lightlike submanifolds of indefinite nearly Kaehler manifolds. Subsequently, we investigate minimal slant lightlike submanifolds of indefinite nearly Kaehler manifolds.

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참고문헌

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