Zhao Pei
Abstract
This paper studies the hyper surfaces with constant mean curvature in S n+1 ,and gives the condition,under which the compact hyper surfaces in S n+1 are totally umbilical surfaces or minimal hyper surfaces.
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This paper studies the hyper surfaces with constant mean curvature in S n+1 ,and gives the condition,under which the compact hyper surfaces in S n+1 are totally umbilical surfaces or minimal hyper surfaces.
Key concepts: Mean curvature, Constant-mean-curvature surface, Constant (computer programming), Center of curvature, Curvature, Mathematics, Mean curvature flow, Geometry