Holonomy orbits of the snake charmer algorithm

Details Holonomy orbits of the snake charmer algorithm Holonomy orbits of the snake charmer algorithm

2006-03-27

arxiv.org/abs/math/0603620v1

Mathematics

Differential Geometry

15 pages, 4 figures

Scientific paper

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.

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