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Ricci curvature of submanifolds in a quaternion projective space

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Abstract

Recently, Chen establishes sharp relationship between thek-Ricci curvature and the squared mean curvature for asubmanifold in a Riemannian space form with arbitrary codimension.In this paper, we establish sharp relationships between the Riccicurvature and the squared mean curvature for submanifolds inquaternion projective spaces.

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