Honam Mathematical Journal (호남수학학술지)

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CERTAIN RESULTS ON INVARIANT SUBMANIFOLDS OF PARA-KENMOTSU MANIFOLDS

  • Atceken, Mehmet (Department of Mathematics, Faculty of Sciences and Arts, Aksaray University)
  • Received : 2020.08.10
  • Accepted : 2020.12.18
  • Published : 2021.03.25
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Abstract

The purpose of this paper is to study invariant pseudoparallel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel submanifold of a para-Kenmotsu manifold and I obtained some equivalent conditions of invariant submanifolds of para-Kenmotsu manifolds under some conditions which the submanifolds are totally geodesic. Finally, a non-trivial example of invariant submanifold of paracontact metric manifold is constructed in order to illustrate our results.

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References

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