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4 papers
Polynomial conserved quantities for constrained Willmore surfaces
Áurea Casinhas Quintino, Susana Duarte Santos
We define a hierarchy of special classes of constrained Willmore surfaces by means of the existence of a polynomial conserved quantity of some type, filtered by an integer. Type 1…
Formal conserved quantities for isothermic surfaces
F. E. Burstall, S. D. Santos
Isothermic surfaces in are characterised by the existence of a pencil of flat connections. Such a surface is special of type if there is a family of $\n…
Special isothermic surfaces of type
F. E. Burstall, S. D. Santos
The special isothermic surfaces, discovered by Darboux in connection with deformations of quadrics, admit a simple explanation via the gauge-theoretic approach to isothermic surfac…
Discrete surfaces of constant mean curvature
F Burstall, U Hertrich-Jeromin, W Rossman +1
We propose a unified definition for discrete analogues of constant mean curvature surfaces in spaces of constant curvature as a special case of discrete special isothermic nets. Bä…