Approximating Ropelength by Energy Functions

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The ropelength of a knot is the quotient of its length by its thickness. We consider a family of energy functions for knots, depending on a power p, which approach ropelength as p increases. We describe a numerically computed trefoil knot which seems to be a local minimum for ropelength; there are nearby critical points for the p-energies, which are evidently local minima for large enough p.
6 pages, 2 figures, LaTeX

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Geometric Topology, Differential Geometry, 57M25 (Primary); 49Q10, 53A04 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/63611

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203205
 http://arxiv.org/abs/math/0203205

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arXiv