TL;DR
This paper investigates constant mean curvature bubbletons in Euclidean 3-space, demonstrating that single bubbletons are not embedded surfaces through the dressing method with simple factors.
Contribution
It proves that single bubbletons are not embedded surfaces, providing new insights into their geometric properties.
Findings
Single bubbletons are not embedded surfaces.
Dressing with simple factors is used to analyze bubbletons.
The study advances understanding of constant mean curvature surfaces.
Abstract
We discuss constant mean curvature bubbletons in Euclidean 3-space via dressing with simple factors, and prove that single bubbletons are not embedded.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Mathematical Dynamics and Fractals