On the associated family of Delaunay surfaces

DOI10.1090/S0002-9939-04-07483-0zbMath1055.53005arXivmath/0302122MaRDI QIDQ4813733

Martin Kilian

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302122

zbMATH Keywords

Delaunay surfacesconstant mean curvature surfacesSym-Bobenko formulaloop group techniques

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items

Dressing preserving the fundamental group

Cites Work

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• The structure of complete embedded surfaces with constant mean curvature
• The surfaces of Delaunay
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• Weierstrass type representation of harmonic maps into symmetric spaces
• On constant mean curvature surfaces with periodic metric
• Construction of non-simply connected CMC surfaces via dressing.
• Dressing CMC \(n\)-noids
• New Constant Mean Curvature Surfaces
• Global solutions of the elliptic 2D periodic Toda lattice
• The Tension Field of the Gauss Map