Non-invariant Hypersurfaces of Hyperbolic Sasakian Manifolds

Abstract

The object of this paper is to study non-invariant hypersurfaces of hyperbolic 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 hypersurfaces with (f,g,u,v,λ)- structure of hyperbolic Sasakian manifolds to be totally geodesic. The second fundamental form of a non-invariant hypersurface of hyperbolic Sasakian manifolds with (f,g,u,v,λ) - structure has been traced under the condition when f is parallel.

Keywords

• totally geodesic
• totally umbilical
• Hyperbolic Sasakian manifold

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