Moduli Spaces of Embedded Constant Mean Curvature Surfaces with Few Ends and Special Symmetry
K. Brauckmann, R. Kusner
Abstract
We give necessary conditions on complete embedded surfaces with three or four ends subject to reflection symmetries. The respective submoduli spaces are two-dimensional varieties in the moduli spaces of general surfaces. We characterize fundamental domains of our surfaces by associated great circle polygons in the three-sphere.
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