• Title/Summary/Keyword: hemi-slant submanifold

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SOME TYPES OF SLANT SUBMANIFOLDS OF BRONZE RIEMANNIAN MANIFOLDS

  • Acet, Bilal Eftal;Acet, Tuba
    • The Pure and Applied Mathematics
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    • v.29 no.4
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    • pp.277-291
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    • 2022
  • The aim of this article is to examine some types of slant submanifolds of bronze Riemannian manifolds. We introduce hemi-slant submanifolds of a bronze Riemannian manifold. We obtain integrability conditions for the distribution involved in quasi hemi-slant submanifold of a bronze Riemannian manifold. Also, we give some examples about this type submanifolds.

QUASI HEMI-SLANT SUBMANIFOLDS OF KAEHLER MANIFOLDS

  • Prasad, Rajendra;Shukla, S.S.;Haseeb, Abdul;Kumar, Sumeet
    • Honam Mathematical Journal
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    • v.42 no.4
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    • pp.795-809
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    • 2020
  • 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.