S~(n+1)中具有常中曲率的超曲面
Hyper-surfaces with constant mean curvature in S~(n+1)
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摘要: 讨论 Sn+ 1 中的常中曲率超曲面 .给出这种紧致超曲面成为全脐或极小超曲面的一个判定条件 ,其特点是判定定理与中曲率 (1 )无关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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