Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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GENERIC LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS

  • Nand Kishor Jha (Department of Mathematics Chandigarh University) ;
  • Jatinder Kaur (Department of Mathematics Chandigarh University) ;
  • Sangeet Kumar (Department of Mathematics Sri Guru Teg Bahadur Khalsa College) ;
  • Megha Pruthi (Department of Mathematics Sri Guru Teg Bahadur Khalsa College)
  • Received : 2022.02.14
  • Accepted : 2022.11.15
  • Published : 2023.07.31
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Abstract

We introduce the study of generic lightlike submanifolds of a semi-Riemannian product manifold. We establish a characterization theorem for the induced connection on a generic lightlike submanifold to be a metric connection. We also find some conditions for the integrability of the distributions associated with generic lightlike submanifolds and discuss the geometry of foliations. Then we search for some results enabling a generic lightlike submanifold of a semi-Riemannian product manifold to be a generic lightlike product manifold. Finally, we examine minimal generic lightlike submanifolds of a semi-Riemannian product manifold.

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References

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