Frenet frames and Toda systems
微分几何
2007-05-23 v1 数学物理
代数几何
复变函数
math.MP
摘要
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.
引用
@article{arxiv.math/9901023,
title = {Frenet frames and Toda systems},
author = {A. V. Razumov},
journal= {arXiv preprint arXiv:math/9901023},
year = {2007}
}
备注
LaTeX2e, amsart, 23 pages