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Embedded constant mean curvature surfaces with special symmetry

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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.

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Authors and Affiliations

  1. Universität Bonn, Mathematisches Institut, Beringstr. 1,¶53115 Bonn, Germany. e-mail: kgb@math.uni-bonn.de, , , , , , DE

    Karsten Große-Brauckmann

  2. Mathematics Department, University of Massachusetts, Amherst MA 01003, USA. e-mail: kusner@math.umass.edu, , , , , , US

    Robert B. Kusner

Authors
  1. Karsten Große-Brauckmann
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  2. Robert B. Kusner
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Received: 23 January 1998 / Revised version: 23 October 1998

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Große-Brauckmann, K., Kusner, R. Embedded constant mean curvature surfaces with special symmetry. manuscripta math. 99, 135–150 (1999). https://doi.org/10.1007/s002290050166

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  • DOI: https://doi.org/10.1007/s002290050166

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