• Title/Summary/Keyword: pseudo Ricci-parallel

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PSEUDOPARALLEL INVARIANT SUBMANIFOLDS OF (LCS)n-MANIFOLDS

  • Atceken, Mehmet;Yildirim, Umit;Dirik, Suleyman
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.275-284
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    • 2020
  • The aim of this paper is to study the invariant submanifolds of (LCS)n-manifolds. We study pseudo parallel, generalized Ricci-pseudo parallel and 2-pseudo parallel invariant submanifolds of a (LCS)n-manifold and get the necessary and sufficient conditions for an invariant submanifold to be totally geodesic and give some new results contribute to differential geometry.

CHARACTERIZATIONS FOR TOTALLY GEODESIC SUBMANIFOLDS OF (𝜅, 𝜇)-PARACONTACT METRIC MANIFOLDS

  • Atceken, Mehmet;Uygun, Pakize
    • Korean Journal of Mathematics
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    • v.28 no.3
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    • pp.555-571
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    • 2020
  • The aim of the present paper is to study pseudoparallel invariant submanifold of a (𝜅, 𝜇)-paracontact metric manifold. We consider pseudoparallel, Ricci-generalized pseudoparallel and 2-Ricci generalized pseudo parallel invariant submanifolds of a (𝜅, 𝜇)-paracontact metric manifold and we obtain new results contribute to geometry.