2016arXiv (Cornell University)Open access

Ricci curvature for submanifolds of Bochner Kahler manifold

Mehraj Ahmad Lone, Mohammad Ali Jabraeil Jamali, Mohammad Hasan Shahid

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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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What this paper is about

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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Available 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.

Key concepts: Ricci curvature, Mathematics, Mean curvature, Scalar curvature, Curvature, Pure mathematics, Norm (philosophy), Codimension

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