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Constant Mean Curvature Surfaces Derived from Delaunay’s and Wente’s Examples

Karsten Große-Brauckmann and Konrad Polthier
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Karsten Große-Brauckmann: Universität Bonn, Mathematisches Institut
Konrad Polthier: Technische Universität Berlin, Fachbereich Mathematik

A chapter in Visualization and Mathematics, 1997, pp 119-134 from Springer

Abstract: Summary We show how Wente tori and Delaunay surfaces can be used as building blocks to construct new surfaces of constant mean curvature. In a first part we give examples of periodic Wente tori and Wente tori with Delaunay ends. In a second part we study all embedded Delaunay-like surfaces with a fixed number of ends and some given reflectional symmetry.

Keywords: Modulus Space; Triple Junction; Period Problem; Periodic Surface; Constant Mean Curvature (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59195-2_8

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DOI: 10.1007/978-3-642-59195-2_8

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