ZHAO ZHENG
Abstract
In this paper,we studied the closed hypersurface with non zero const ant mean curvature in a unit sphere,and found the hypersurface is a small sphere of Hr－torus under certain condition of the square of the length of the second foundamental form and the mean curvature.
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In this paper,we studied the closed hypersurface with non zero const ant mean curvature in a unit sphere,and found the hypersurface is a small sphere of Hr－torus under certain condition of the square of the length of the second foundamental form and the mean curvature.
Key concepts: Hypersurface, Mean curvature, Zero (linguistics), Unit sphere, Mathematics, Constant (computer programming), Torus, Square (algebra)