On some submanifolds of Kenmotsu manifolds

Sular, Si˙bel and Özgür, Ci˙han

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 1990-1995

Abstract: In this paper, we study submanifolds of Kenmotsu manifolds. We prove that if the second fundamental form of a submanifold of a Kenmotsu manifold is recurrent, 2-recurrent or generalized 2-recurrent then the submanifold is totally geodesic. Furthermore, we show that a submanifold of a Kenmotsu manifold with parallel third fundamental form is again totally geodesic. We also consider quasi-umbilical hypersurfaces of Kenmotsu space forms. We show that these type hypersurfaces are generalized quasi-Einstein.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:4:p:1990-1995

DOI: 10.1016/j.chaos.2009.03.185

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