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arxiv: 1006.3175 · v1 · pith:53ZXGKTKnew · submitted 2010-06-16 · 🧮 math.DG

Special isothermic surfaces of type d

classification 🧮 math.DG
keywords isothermicspecialsurfacesadmitapproacharbitraryclassescodimension
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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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