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Corresponding constant mean curvature surfaces in hyperbolic and Euclidean 3-spaces. (English) Zbl 1285.53005

Summary: We make observations about constant mean curvature surfaces in Euclidean 3-space and their dual surfaces, and the resulting pairs of surfaces in hyperbolic 3-space under the Lawson correspondence.

MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature