Soliton surfaces in the mechanical equilibrium of closed membranes

DOI10.1007/s00220-004-1085-8zbMath1086.53094OpenAlexW1974561642MaRDI QIDQ1771553

Brian Smyth

Publication date: 18 April 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1085-8

zbMATH Keywords

isothermic

Mathematics Subject Classification ID

Membranes (74K15) Soliton equations (35Q51) Applications of global differential geometry to the sciences (53C80)

Related Items (4)

Quadrics and Scherk towers ⋮ Isothermic triangulated surfaces ⋮ On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms ⋮ Transformations and singularities of polarized curves

Cites Work

• Compact constant mean curvature surfaces in Euclidean three-space
• Residual stress in membranes
• A continuum theory of elastic material surfaces
• Painlevé equations in the differential geometry of surfaces
• Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
• Bonnet pairs and isothermic surfaces
• Complete minimal surfaces in \(S^ 3\)
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V
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