Curved Flats and Isothermic Surfaces

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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

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152029

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9411010
 http://arxiv.org/abs/dg-ga/9411010
 Math. Z. 255 1997 199-209

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arXiv