Frenet frames and Toda systems

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It is shown that the integrability conditions of the equations satisfied by the local Frenet frame associated with a holomorphic curve in a complex Grassmann manifold coincide with a special class of nonabelian Toda equations. A local moving frame of a holomorphic immersion of a Riemann surface into a complex Grassmann manifold is constructed and the corresponding connection coefficients are calculated.
LaTeX2e, amsart, 23 pages

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Differential Geometry, Mathematical Physics, Algebraic Geometry, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/77930

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901023
 http://arxiv.org/abs/math/9901023

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arXiv