Construction of constant mean curvature n-noids using the DPW method
Martin Traizet
TL;DR
This paper presents a method to construct genus-zero constant mean curvature surfaces with n ends resembling Delaunay surfaces in Euclidean space using the DPW approach.
Contribution
It introduces a novel application of the DPW method to generate n-noids with specific geometric properties.
Findings
Successfully constructed new CMC n-noids
Demonstrated asymptotic behavior to Delaunay surfaces
Extended the applicability of the DPW method
Abstract
We construct constant mean curvature surfaces in euclidean space with genus zero and n ends asymptotic to Delaunay surfaces using the DPW method.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Geometric Analysis and Curvature Flows · Computational Geometry and Mesh Generation