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The object of the present paper is to obtain a necessary condition for a three dimensional invariant submanifold of a Kenmotsu manifold to be totally geodesic. Besides this we study an invariant submanifold of Kenmotsu manifolds satisfying Q(α, R) = 0 and Q(S, α) = 0, where S, R are the Ricci tensor and curvature tensor respectively and α is the second fundamental form. Finally, we construct an example to verify our results. © 2014, Springer Basel AG.
Journal | Journal of Geometry |
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Publisher | Birkhauser Verlag AG |
ISSN | 0047-2468 |
Open Access | No |