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An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds

Uddin, Siraj and Khan, Khalid Ali (2012). An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds. Journal of Inequalities and Applications,2012.

Document type: Journal Article
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Title An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds
Author Uddin, Siraj
Khan, Khalid Ali
Journal Name Journal of Inequalities and Applications
Publication Date 2012
Volume Number 2012
ISSN 1025-5834   (check CDU catalogue  open catalogue search in new window)
Scopus ID 2-s2.0-84873360727
Place of Publication Germany
Publisher Springer
Field of Research 230000 Mathematical Sciences
Abstract Recently, Chen (Monatshefte Math. 133:177-195, 2001) established general sharp inequalities for CR-warped products in a Kaehler manifold. Afterward, Mihai obtained (Geom. Dedic. 109:165-173, 2004) the same inequalities for contact CR-warped product submanifolds of Sasakian space forms and derived some applications. In this paper, we obtain an inequality for the length of the second fundamental form of the warped product submanifold of a nearly cosymplectic manifold in terms of the warping function. The equality case is also discussed. MSC: 53C40, 53C42, 53B25.
Keywords contact CR-submanifold
contact CR-warped product
nearly cosymplectic manifold
warped product
DOI http://dx.doi.org/10.1186/1029-242X-2012-304   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
 
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Created: Fri, 29 Aug 2014, 16:44:46 CST by Anthony Hornby