Holonomy orbits of the snake charmer algorithm

dc.creatorHausmann, Jean-Claude
dc.creatorRodriguez, Eugenio
dc.date2006-03-27
dc.date.accessioned2026-07-07T07:07:15Z
dc.date.available2026-07-07T07:07:15Z
dc.descriptionThe 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.
dc.description15 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0603620
dc.identifierhttp://arxiv.org/abs/math/0603620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110322
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject53C29; 58D15; 58D19; 58B99; 68T40
dc.titleHolonomy orbits of the snake charmer algorithm
dc.typetext

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