paper

Special isothermic surfaces of type

arXiv:1006.3175 · doi:10.1112/jlms/jdr050

Abstract

The special isothermic surfaces, discovered by Darboux in connection with deformations of quadrics, admit a simple explanation via the gauge-theoretic approach to isothermic surfaces. We find that they fit into a heirarchy of special classes of isothermic surface and extend the theory to arbitrary codimension.

21 pages