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<p>By considering Darboux transforms of Delaunay surfaces, we obtain explicit conformal parametrisations leading to an examination of the symmetry and non-embeddedness of Delaunay bubbletons. Moreover, using the Darboux transformation on a multiple cover, we obtain new CMC cylinders with dihedral symmetry, providing their conformal parametrisations. These new CMC cylinders can be used to prove the existence of closed same-lobed CMC multibubbletons by applying Bianchi permutability.</p>

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New explicit CMC cylinders and same-lobed CMC multibubbletons

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Joseph Cho,
  • Katrin Leschke,
  • Yuta Ogata

摘要

By considering Darboux transforms of Delaunay surfaces, we obtain explicit conformal parametrisations leading to an examination of the symmetry and non-embeddedness of Delaunay bubbletons. Moreover, using the Darboux transformation on a multiple cover, we obtain new CMC cylinders with dihedral symmetry, providing their conformal parametrisations. These new CMC cylinders can be used to prove the existence of closed same-lobed CMC multibubbletons by applying Bianchi permutability.