Ricci curvature for submanifolds of Bochner Kahler manifold

2016/01/16 by Mehraj Ahmad Lone, Lone, Mehraj Ahmad, Mohammad Ali Jabraeil Jamali +4
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C20 #msc:53C21 #msc:53C40

paper · pdf · doi:10.48550/arxiv.1601.04129

7 pages

arxiv created 2016/01/16 · arxiv updated 2016/01/19

Abstract

B. Y. Chen establish the relationship between the Ricci curvature and the squared mean curvature for submanifolds of Riemannian space form with arbitrary codimension. In this paper, we generalize the relationship between the Ricci curvature and the squared norm of mean curvature vector for submanifolds of Bochner Kahler manifolds.

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