Curved Flats and Isothermic Surfaces

Abstract

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 Möbius invariant frame for an isothermic surface is built.

9 pages, AmSLaTeX 1.1, no figures

Cited by in corpus (1)

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