Moduli Spaces of Embedded Constant Mean Curvature Surfaces with Few Ends and Special Symmetry

Details Moduli Spaces of Embedded Constant Mean Curvature Surfaces with Few Ends and Special Symmetry Moduli Spaces of Embedded Constant Mean Curvature Surfaces with Few Ends and Special Symmetry

1996-10-08

arxiv.org/abs/dg-ga/9610004v1

Mathematics

Differential Geometry

latex2e, AMS-latex, 24 pages

Scientific paper

We give necessary conditions on complete embedded \cmc surfaces with three or
four ends subject to reflection symmetries. The respective submoduli spaces are
two-dimensional varieties in the moduli spaces of general \cmc surfaces. We
characterize fundamental domains of our \cmc surfaces by associated great
circle polygons in the three-sphere.

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