, Volume 32, Issue 1, pp 88-94

On submanifolds of Sasakian manifolds

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Abstract

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.

Submitted by P.N. Ivanshin
The author is supported by U. G. C. Minor Research Project, India.