Abstract
We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to the more general context of submanifolds of symmetric R-spaces with essentially no loss of integrable structure.
Received: 2010-05-25
Published Online: 2011-04-14
Published in Print: 2011-November
© Walter de Gruyter Berlin · New York 2011
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Articles in the same Issue
- Serre weights for mod p Hilbert modular forms: the totally ramified case
- On the regulator of Fermat motives and generalized hypergeometric functions
- Badly approximable systems of affine forms, fractals, and Schmidt games
- A continuum version of the Kunz–Souillard approach to localization in one dimension
- The Bohr radius of the unit ball of
- On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
- The rigidity of embedded constant mean curvature surfaces
- Isothermic submanifolds of symmetric R-spaces