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arXiv · 0906.1692

Isothermic submanifolds of symmetric $R$-spaces

F. E. Burstall·N. M. Donaldson·F. Pedit·U. Pinkall
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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.

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F. E. Burstall, N. M. Donaldson, F. Pedit, U. Pinkall. 2009-06-09. Isothermic submanifolds of symmetric $R$-spaces. https://doi.org/10.1515/crelle.2011.075

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