The Topological Classification of Minimal Surfaces in R³

2002/09/22 by Charles Frohman, Frohman, Charles, William H. Meeks +2
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #Geometric Analysis and Curvature Flows #math.DG #math.GT #msc:49Q05

paper · pdf · doi:10.48550/arxiv.math/0209286

arxiv created 2002/09/22 · arxiv updated 2009/11/30

Abstract

We give a complete topological classification of minimal surfaces in Euclidian three-space.

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• Minimal surfaces with arbitrary genus in 3-spheres of positive Ricci curvature