Mathematics – Differential Geometry
Scientific paper
2010-06-16
Journal of the London Mathematical Society, 85 no. 2 (2012) 571-591
Mathematics
Differential Geometry
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.
Burstall Francis E.
Santos Sergio Dos
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