This paper is concerned with the study of slant and hemi-slant submanifolds of a nearly Kenmotsu manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kenmotsu manifold is totally geodesic and derive the integrability conditions of involved distributions in the definition of a hemi-slant submanifold. Finally, we obtain a classification theorem on a totally umbilical hemi-slant submanifold of a nearly Kenmotsu manifold.
Key words: Slant submanifold, hemi-slant submanifold, totally umbilical, minimal submanifold, nearly Kenmotsu manifold.
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