On doubly warped product submanifolds of generalized \((\kappa ,\mu )\) -space forms
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- 作者：Morteza Faghfouri ; Narges Ghaffarzadeh
- 关键词：Doubly warped product ; C ; totally real submanifold ; Geometric inequality ; Eigenfunction of the Laplacian operator ; $$(\kappa ; \mu )$$ ( 魏 ; 渭 ) ; space forms ; Kenmotsu manifold ; 53C40 ; 53C25 ; 53C15
- 刊名：Afrika Matematika
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：26
- 期：7-8
- 页码：1443-1455
- 全文大小：435 KB
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Narges Ghaffarzadeh (1)
1. Faculty of mathematics, University of Tabriz, Tabriz, Iran - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics Education
Applications of Mathematics
History of Mathematics
Mathematics - 出版者：Springer Berlin / Heidelberg
- ISSN：2190-7668
文摘
In this paper we establish a general inequality involving the Laplacian of the warping functions and the squared mean curvature of any doubly warped product isometrically immersed in a Riemannian manifold. Moreover, we obtain some geometric inequalities for C-totally real doubly warped product submanifolds of generalized \((\kappa ,\mu )\)-space forms. Keywords Doubly warped product C-totally real submanifold Geometric inequality Eigenfunction of the Laplacian operator \((\kappa , \mu )\)-space forms Kenmotsu manifold