• Title/Summary/Keyword: pointwise slant submersion

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CLAIRAUT POINTWISE SLANT RIEMANNIAN SUBMERSION FROM NEARLY KÄHLER MANIFOLDS

  • Gauree Shanker;Ankit Yadav
    • Honam Mathematical Journal
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    • v.45 no.1
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    • pp.109-122
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    • 2023
  • 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.