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On invariant submanifolds of Kenmotsu manifolds
U C DE,
Published in Birkhauser Verlag AG
2015
Volume: 106
   
Issue: 1
Pages: 109 - 122
Abstract

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.

About the journal
JournalJournal of Geometry
PublisherBirkhauser Verlag AG
ISSN0047-2468
Open AccessNo