A note about isothermic surfaces in Rn−j,j
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Universidad Industrial de Santander
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In this note we survey our results on the description of ti-melike isothermic surfaces in Rn-j,j using the Grassmannian systems or U/K-systems. We give the natural extensions of the definition of Ribaucour and Darboux transformations for timelike isothermic surfaces and review how those transformations correspond to dressing actions of suitable simple elements.
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Dressing actions, Grassmannian systems, Lorentzian isothemic surfaces