On Non-invariant Hypersurfaces of a Nearly Sasakian Manifold
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Abstract
The object of the present paper is to study non-invariant hypersurfaces of nearly Sasakian manifolds equipped with ( f , g,u,v,l ) - structure. Some properties obeyed by this structure are obtained. The second fundamental form of a non-invariant hypersurface of a nearly Sasakian manifold with ( f , g,u,v,l ) - structure has been traced under the condition when f is parallel. The necessary and sufficient conditions also have been obtained for totally umbilical non-invariant hypersurfaces with ( f , g,u,v,l ) - structure of nearly Sasakian manifold to be totally geodesic.
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Rajendra Prasad and Shyam Kishor, Satya Prakash Yadav. On Non-invariant Hypersurfaces of a Nearly Sasakian Manifold. J. Int. Acad. Phys. Sci. [Internet]. 2011 Sep. 15 [cited 2024 May 18];15(3):319-30. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/491
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