Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SOME RESULTS ON INVARIANT SUBMANIFOLDS OF AN ALMOST KENMOTSU (𝜅, 𝜇, 𝜈)-SPACE

  • Received : 2021.06.03
  • Accepted : 2021.07.09
  • Published : 2021.12.25
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Abstract

In the present paper, we study the geometric properties of the invariant submanifold of an almost Kenmotsu structure whose Riemannian curvature tensor has (𝜅, 𝜇, 𝜈)-nullity distribution. In this connection, the necessary and sufficient conditions are investigated for an invariant submanifold of an almost Kenmotsu (𝜅, 𝜇, 𝜈)-space to be totally geodesic under the behavior of functions 𝜅, 𝜇, and 𝜈.

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Acknowledgement

We are grateful to all the reviewers for their valuable, detailed and informative suggestions and comments on the drafts of this article.

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