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http://dx.doi.org/10.22771/nfaa.2021.26.05.09

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)

Publication Information

Nonlinear Functional Analysis and Applications / v.26, no.5, 2021 , pp. 985-994 More about this Journal

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.

Keywords

( ${\epsilon},\; {\delta}$ )-trans Sasakian manifold; totally geodesic; totally umbilical;

Citations & Related Records

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