Korean J. Math. Vol. 30 No. 1 (2022) pp.175-185
DOI: https://doi.org/10.11568/kjm.2022.30.1.175

Some results on invarinat submanifolds of Lorentzian para-Kenmotsu manifolds

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Published: Mar 30, 2022
Keywords:
Lorentzian Para Kenmotsu Manifold, Invarinat Submanifold, Pseudoparallel Submanifold, Ricci-Generalized Pseudoparallel Submanifold.
Mathematics Subject Classification:
53C15, 53C40, 53C50

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Mehmet Atceken
Department of Mathematics, Aksaray University, 68100, Aksaray Turkey.

Abstract

The purpose of this paper is to study invariant submanifolds of a Lorentzian para Kenmotsu manifold. We obtain the necessary and sufficient conditions for an invariant submanifold of a Lorentzian para Kenmotsu manifold to be totally geodesic. Finally, a non-trivial example is built in order to verify our main results.



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References

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