Abstract
R. Schoen has asked whether the sphere and the cylinder are the only complete (almost) embedded constant mean curvature surfaces with finite absolute total curvature. We propose an infinite family of such surfaces. The existence of examples of this kind is supported by results of computer experiments we carried out using an algorithm developed by Oberknapp and Polthier.
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Große-Brauckmann, K., Kusner, R.B., Sullivan, J.M. (1998). Constant Mean Curvature Surfaces with Cylindrical Ends. In: Hege, HC., Polthier, K. (eds) Mathematical Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03567-2_8
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DOI: https://doi.org/10.1007/978-3-662-03567-2_8
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