An end-to-end construction for compact constant mean curvature surfaces

2003/11/25 by Mohamed Jleli, M. Jleli, Frank Pacard +3
Engineering · Mathematics · #53A10 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53A10

paper · pdf · doi:10.48550/arxiv.math/0311457

arxiv created 2003/11/25 · openalex publication_date 2003/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how the current knowledge on the set of complete noncompact constant mean curvature surfaces can be exploited to produce new examples of compact constant mean curvature surfaces of genus greater than or equal to 3.

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• Constant Mean Curvature surfaces with prescribed finite topologies
• Embedded Constant Mean Curvature Surfaces in Euclidean Three Space
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