Embedded constant mean curvature surfaces with special symmetry |
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| Authors: | Karsten Große-Brauckmann Robert B. Kusner |
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| Affiliation: | Universit?t Bonn, Mathematisches Institut, Beringstr. 1,?53115 Bonn, Germany. e-mail: kgb@math.uni-bonn.de, DE
Mathematics Department, University of Massachusetts, Amherst MA 01003, USA. e-mail: kusner@math.umass.edu, US
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| Abstract: | We give sharp, necessary conditions on complete embedded CMC surfaces with three ends and an extra reflection symmetry. The respective submoduli space is a two-dimensional variety in the moduli space of general CMC surfaces. Fundamental domains of our CMC surfaces are characterized by associated great circle polygons in the three-sphere. Received: 23 January 1998 / Revised version: 23 October 1998 |
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| Keywords: | Mathematics Subject Classification (1991):53A10 |
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