Special isothermic surfaces of type $d$

Mathematics – Differential Geometry

Scientific paper

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21 pages

Scientific paper

10.1112/jlms/jdr050

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.

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