Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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QUASI HEMI-SLANT SUBMANIFOLDS OF KAEHLER MANIFOLDS

  • Prasad, Rajendra (Department of Mathematics and Astronomy University of Lucknow) ;
  • Shukla, S.S. (Department of Mathematics University of Allahabad) ;
  • Haseeb, Abdul (Department of Mathematics, Faculty of Science Jazan University) ;
  • Kumar, Sumeet (Department of Mathematics and Astronomy University of Lucknow)
  • Received : 2020.10.01
  • Accepted : 2020.11.19
  • Published : 2020.12.25
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Abstract

In the present paper, we introduce the notion of quasi hemi-slant submanifolds of almost Hermitian manifolds and give some of its examples. We obtain the necessary and sufficient conditions for the distributions to be integrable. We also investigate the necessary and sufficient conditions for these submanifolds to be totally geodesic and study the geometry of foliations determined by the distributions. Finally, we obtain the necessary and sufficient condition for a quasi hemi-slant submanifold to be local product of Riemannian manifold.

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Acknowledgement

The authors are thankful to the referee for their valuable suggestions for the improvement of the paper.

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