Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SCREEN GENERIC LIGHTLIKE SUBMERSIONS

  • Gaurav Sharma (Department of Mathematics, Maharaja Agrasen University, SDWG Government College Beetan) ;
  • Sangeet Kumar (Department of Mathematics, Sri Guru Teg Bahadur Khalsa College) ;
  • Dinesh Kumar Sharma (Department of Mathematics, Maharaja Agrasen University)
  • Received : 2023.03.02
  • Accepted : 2023.05.10
  • Published : 2023.12.20
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Abstract

We introduce the study of a new class of a lightlike submersion d. Then, we derive a relationship between the holomorphic section 𝜙 : K1 → K' from a screen generic lightlike submanifold of an indefinite Kaehler manifold K2 onto an indefinite almost Hermitian manifold K', and show that for this case K' must be an indefinite Kaehler manifold. Then, we derive a relationship between the holomorphic sectional curvatures of K2 and K'. Finally, we present a classification theorem for a screen generic lightlike submersion, giving the relationship between the sectional curvatures of the total space K2 and the fibers.

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References

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