Holonomy orbits of the snake charmer algorithm
Differential Geometry
2007-05-23 v1 Dynamical Systems
Abstract
The snake charmer algorithm permits us to deform a piecewise smooth curve starting from the origin in R^d, so that its end follows a given path. When this path is a loop, a holonomy phenomenon occurs. We prove that the holonomy orbits are closed manifolds diffeomorphic to real Stiefel manifolds. A survey of the snake charmer algorithm is given in the paper.
Cite
@article{arxiv.math/0603620,
title = {Holonomy orbits of the snake charmer algorithm},
author = {Jean-Claude Hausmann and Eugenio Rodriguez},
journal= {arXiv preprint arXiv:math/0603620},
year = {2007}
}
Comments
15 pages, 4 figures