Publication: Contact CR-warped product submanifolds in Kenmotsu space forms
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Authors
Arslan, Kadri
Ezentaş, Rıdvan
Murathan, Cengizhan
Authors
Mihai, Ion
Advisor
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Korean Mathematical Soc
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Abstract
Recently, Chen studied warped products which are CR-submanifolds in Kaehler manifolds and established general sharp inequalities for CR-warped products in Kaehler manifolds. In the present paper, we obtain sharp estimates for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping function for contact CR-warped products isometrically immersed in Kenmotsu space forms. The equality case is considered. Some applications are derived.
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Keywords
Contact CR-submannifold, Kenmotsu space form, Warped product, Kenmotsu manifold, Immersions, Manifolds, Mathematics
Citation
Arslan, K. vd. (2005). "Contact CR-warped product submanifolds in Kenmotsu space forms". Journal of The Korean Mathematical Society, 42(5), 1101-1110.