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2010 / June Volume 5 No.2
Multiply warped product submanifolds in Kenmotsu space forms
Published Date
2010 / June
Title
Multiply warped product submanifolds in Kenmotsu space forms
Author
Andreea Olteanu
Keyword
multiply warped product, multiply CR-warped product, second fundamental form, warping functions, mean curvature, Kenmotsu space form, multiply warped product, multiply $CR$-warped product, second fundamental form, warping functions, mean curvature, Kenmotsu space form
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Pagination
201-214
Abstract
Recently, B. Y. Chen and F. Dillen established general sharp inequalities for multiply warped product submanifolds in arbitrary Riemannian manifolds. As applications, they obtained obstructions to minimal isometric immersions of multiply warped products into Riemannian manifolds. Later, the authors proved similar inequalities for multiply warped products isometrically immersed in Sasakian space forms.
In this paper, the authors obtain inequalities for multiply warped products isometrically immersed in Kenmotsu space forms together with derivation of some applications.
AMS Subject
Classification
53C40, 53C25
Received
2009-05-12
Accepted
2009-05-12
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