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arxiv: 1210.3394 · v1 · pith:JA5EOHOUnew · submitted 2012-10-11 · 🧮 math.DG · math.AP

Embedded Constant Mean Curvature Surfaces in Euclidean Three Space

classification 🧮 math.DG math.AP
keywords constantcurvaturekapouleasmeansurfacescompletedevelopedembedded
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In this paper we refine the construction and related estimates for complete Constant Mean Curvature surfaces in Euclidean three-space developed in Kapouleas (1990) by adopting the more precise and powerful version of the methodology which was developed in Kapouleas (1995). As a consequence we remove the severe restrictions in establishing embeddedness for complete Constant Mean Curvature surfaces in Kapouleas (1990) and we produce a very large class of new embedded examples of finite topology.

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