On some inequalities for submanifolds of Bochner Kaehler manifolds

2016/01/16 by Mehraj Ahmad Lone, Lone, Mehraj Ahmad, Mohammad Jamali +3
Mathematics · #53C20 #53C21 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C20 #msc:53C21 #msc:53C40

paper · pdf · doi:10.48550/arxiv.1601.04130

16 pages

arxiv created 2016/04/26 · arxiv updated 2016/04/27

Abstract

B. Y. Chen established sharp inequalities between certain Riemannian invariants and the squared mean curvature for submanifolds in real space form as well as in complex space form. In this paper we generalize Chen inequalities for submanifolds of Bochner Kaehler manifolds. Moreover, we consider CR-warped product submanifolds of Bochner Kaehler manifold and establish an inequality for scalar curvature.

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• First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications
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