Frenet frames and Toda systems

A. V. Razumov

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arXiv · math/9901023

Frenet frames and Toda systems

A. V. Razumov

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Abstract

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.

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BibTeX RIS

A. V. Razumov. 1999-01-06. Frenet frames and Toda systems. https://arxiv.org/abs/math/9901023

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