External Geometry of Submanifolds in Conformal Kenmotsu Manifolds
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The object of the present paper is to study submanifolds of a conformal Kenmotsu manifold of which the second fundamental form is recurrent, 2-recurrent or generalized 2-recurrent. Finally, we present an example to verify our results.
KeywordsConformal Kenmotsu manifold Recurrent tensor field Totally geodesic Totally umbilic
Mathematics Subject ClassificationPrimary 53C25 Secondary 53C40
- 10.O’ Neill, B.: Semi-Riemannian geometry with applications to relativity. Pure and applied mathematics, vol. 103. Academic Press, Inc. [Harcourt Brace Jo-vanovich, Publishers], New York (1983)Google Scholar
© Iranian Mathematical Society 2018
corrected publication 2018