Constant Mean Curvature Surfaces with Boundaryin Hyperbolic Space |
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Authors: | Rafael López |
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Affiliation: | (1) Universidad de Granada, Spain, ES |
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Abstract: | 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. Received 27 March 1997; in final form 11 June 1998 |
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Keywords: | 1991 Mathematics Subject Classification: 53A10 53C42 |
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