- Bingöl Üniversitesi Teknik Bilimler Dergisi
- Vol: 2 Issue: 1
- Non-invariant Hypersurfaces of Hyperbolic Sasakian Manifolds
Non-invariant Hypersurfaces of Hyperbolic Sasakian Manifolds
Authors : Toukeer Khan
Pages : 16-24
View : 20 | Download : 15
Publication Date : 2021-07-09
Article Type : Research
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