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Constant Mean Curvature Surfaces with Boundaryin Hyperbolic Space
被引：0
作者：
Rafael López
机构：
[1] Universidad de Granada,
[2] Spain,undefined
来源：
Monatshefte für Mathematik
|
1999年
/
127卷
关键词：
1991 Mathematics Subject Classification: 53A10;
53C42;
Key words: Constant mean curvature;
tangency principle;
flux formula;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study constant mean curvature compact surfaces immersed in hyperbolic space with non-empty boundary (=H-surfaces). We prove that the only H-surfaces with boundary circular and 0≤∣H∣≤1, are the umbilical examples. When the surface is embedded, conditions to be umbilical are given. Finally, we characterize umbilical surfaces bounded by a circle among all H-discs with small area.
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页码：155 / 169
页数：14
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