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

K. Grosse-Brauckmann, K. Polthier
Constant Mean Curvature Surfaces Derived from Delaunay's and Wente's Examples
in: Visualization and Mathematics, Springer Verlag 1996

Abstract:

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.

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