An inequality for contact CR-warped product submanifolds of nearly cosymplectic manifolds
1 Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur, 50603, Malaysia
2 School of Engineering & Logistics, Faculty of Technology, Charles Darwin University, Darwin, NT, 0909, Australia
Journal of Inequalities and Applications 2012, 2012:304 doi:10.1186/1029-242X-2012-304Published: 18 December 2012
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.