Frenet frames and Toda systems

Details Frenet frames and Toda systems Frenet frames and Toda systems

1999-01-06

arxiv.org/abs/math/9901023v1

Mathematics

Differential Geometry

LaTeX2e, amsart, 23 pages

Scientific paper

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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