Lobachevskii Journal of Mathematics

, 32:88

First online:

On submanifolds of Sasakian manifolds

  • Avijit SarkarAffiliated withDepartment of Mathematics, University of Burdwan Email author 

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The object of the present paper is to introduce a new type of invariant submanifolds, namely, mixed-invariant submanifolds of Sasakian manifolds and to show that everymixed-invariant submanifold of a Sasakian manifold is totally geodesic. 2-quasi-umbilical hypersurface of a Sasakian space form is also studied.

Keywords and phrases

Key words and phrases: Mixed-invariant Sasakian manifold submanifold 2-quasi-umbilical generalized quasi-Einstein