Curved Flats and Isothermic Surfaces

Details Curved Flats and Isothermic Surfaces Curved Flats and Isothermic Surfaces

1994-11-23

arxiv.org/abs/dg-ga/9411010v1

Math. Z. 255 1997 199-209

Mathematics

Differential Geometry

9 pages, AmSLaTeX 1.1, no figures

Scientific paper

We show how pairs of isothermic surfaces are given by curved flats in a
pseudo Riemannian symmetric space and vice versa. Calapso's fourth order
partial differential equation is derived and, using a solution of this
equation, a M\"obius invariant frame for an isothermic surface is built.

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