English

Isothermic submanifolds of symmetric $R$-spaces

Differential Geometry 2011-12-19 v2

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 RR-spaces with essentially no loss of integrable structure.

Keywords

Cite

@article{arxiv.0906.1692,
  title  = {Isothermic submanifolds of symmetric $R$-spaces},
  author = {F. E. Burstall and N. M. Donaldson and F. Pedit and U. Pinkall},
  journal= {arXiv preprint arXiv:0906.1692},
  year   = {2011}
}

Comments

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