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Embedded minimal surfaces of finite topology. (English) Zbl 0695.53004

This paper generalizes Costas embedded minimal surface with three ends and genus 1 to arbitrary genus. The basic analytic methods depend on finite topology, and a crucial step of the construction is the relation between symmetries of the embedding and symmetries of its Gauss map.
Reviewer: D.Ferus

MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
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