Holonomy orbits of the snake charmer algorithm

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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.
15 pages, 4 figures

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Differential Geometry, Dynamical Systems, 53C29; 58D15; 58D19; 58B99; 68T40

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http://salesiana.dossiersoluciones.com/handle/123456789/110322

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603620
 http://arxiv.org/abs/math/0603620

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arXiv