M\"obius transformations and the configuration space of a Hilbert snake
Differential Geometry
2019-08-19 v1
Abstract
The purpose of this paper is to give a simpler proof to the problem of controllability of a Hilbert snake \cite{PeSa}. Using the action of the M\"obius group of the unit sphere on the configuration space, in the context of a separable Hilbert space. We give a generalization of the Theorem of accessibility contained in \cite{Ha} and \cite{Ro} for articulated arms and snakes in a finite dimensional Hilbert space
Keywords
Cite
@article{arxiv.1412.6743,
title = {M\"obius transformations and the configuration space of a Hilbert snake},
author = {F. Pelletier and R. Saffidine and N Bensalem},
journal= {arXiv preprint arXiv:1412.6743},
year = {2019}
}