Honam Mathematical Journal (호남수학학술지)

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CLAIRAUT POINTWISE SLANT RIEMANNIAN SUBMERSION FROM NEARLY KÄHLER MANIFOLDS

  • Gauree Shanker (Department of Mathematics and Statistics, Central University of Punjab) ;
  • Ankit Yadav (Department of Mathematics and Statistics, Central University of Punjab)
  • Received : 2022.06.20
  • Accepted : 2022.11.29
  • Published : 2023.03.25
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Abstract

In the present article, we introduce pointwise slant Riemannian submersion from nearly Kähler manifold to Riemannian manifold. We established the conditions for fibers to be totally geodesic. We also find necessary and sufficient conditions for pointwise slant submersion 𝜑 to be a harmonic and totally geodesic. Further, we study clairaut pointwise slant Riemannian submersion from nearly Kähler manifold to Riemannian manifold. We derive the clairaut conditions for 𝜑 such that 𝜑 is a clairaut map. Finally, one example is constructed which demonstrates existence of clairaut pointwise slant submersion from nearly Kähler manifold to Riemannian manifold.

Keywords

Acknowledgement

We thanks to CSIR for providing SRF scholarship to second author vide letter no. (09/1051/(0022)/2018-EMR-I).

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