Time-Like Isothermic Surfaces Associated to Grassmannian Systems

We establish that, as is the case with space-like isothermic surfaces, time-like isothermic surfaces in pseudo-riemannian space $\mathbb R^{n-j,j}$ are associated to the $O(n-j+1,j+1)/O(n-j,j)\times O(1,1)$-system.

2000 Mathematics Subject Classification: Primary 53A35; Secondary53C40.

Keywords and Phrases: Isothermic surfaces, integrable systems, Grassmannian systems

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