Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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GEOMETRIC CHARACTERISTICS OF GENERIC LIGHTLIKE SUBMANIFOLDS

  • Jha, Nand Kishor (Department of Mathematics, Chandigarh University) ;
  • Pruthi, Megha (Department of Mathematics, Sri Guru Teg Bahadur Khalsa College) ;
  • Kumar, Sangeet (Department of Mathematics, Sri Guru Teg Bahadur Khalsa College) ;
  • Kaur, Jatinder (Department of Mathematics, Chandigarh University)
  • Received : 2021.07.13
  • Accepted : 2022.01.19
  • Published : 2022.06.25
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Abstract

In the present study, we investigate generic lightlike submanifolds of indefinite nearly Kaehler manifolds. After proving the existence of generic lightlike submanifolds in an indefinite generalized complex space form, a non-trivial example of this class of submanifolds is discussed. Then, we find a characterization theorem enabling the induced connection on a generic lightlike submanifold to be a metric connection. We also derive some conditions for the integrability of distributions defined on generic lightlike submanifolds. Further, we discuss the non-existence of mixed geodesic generic lightlike submanifolds in a generalized complex space form. Finally, we investigate totally umbilical generic lightlike submanifolds and minimal generic lightlike submanifolds of an indefinite nearly Kaehler manifold.

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References

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