Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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NON-INVARIANT HYPERSURFACES OF A (𝜖, 𝛿)-TRANS SASAKIAN MANIFOLDS

  • Khan, Toukeer (School of Liberal Arts and Science Ear University) ;
  • Rizvi, Sheeba (School of Liberal Arts and Science Ear University)
  • Received : 2020.09.05
  • Accepted : 2021.04.11
  • Published : 2021.12.15
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Abstract

The object of this paper is to study non-invariant hypersurface of a (𝜖, 𝛿)-trans Sasakian manifolds equipped with (f, g, u, v, λ)-structure. Some properties obeyed by this structure are obtained. The necessary and sufficient conditions also have been obtained for totally umbilical non-invariant hypersurface with (f, g, u, v, λ)-structure of a (𝜖, 𝛿)-trans Sasakian manifolds to be totally geodesic. The second fundamental form of a non-invariant hypersurface of a (𝜖, 𝛿)-trans Sasakian manifolds with (f, g, u, v, λ)-structure has been traced under the condition when f is parallel.

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References

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