Isothermic submanifolds of symmetric $R$-spaces

Details Isothermic submanifolds of symmetric $R$-spaces Isothermic submanifolds of symmetric $R$-spaces

2009-06-09

arxiv.org/abs/0906.1692v2

J. fur reine angew. Math. 2011 no. 660 (2011) 191-243

Mathematics

Differential Geometry

35 pages, 3 figures. v2: typos and other infelicities corrected.

Scientific paper

10.1515/CRELLE.2011.075

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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