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arxiv: 1601.04129 · v1 · pith:UVT2AEJEnew · submitted 2016-01-16 · 🧮 math.DG

Ricci curvature for submanifolds of Bochner Kahler manifold

classification 🧮 math.DG
keywords curvaturericcisubmanifoldsbochnerkahlermeanrelationshipsquared
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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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