Approximating Ropelength by Energy Functions

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dc.creatorSullivan, John M
dc.date2002-03-20
dc.date.accessioned2026-07-07T04:47:11Z
dc.date.available2026-07-07T04:47:11Z
dc.descriptionThe 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.
dc.description6 pages, 2 figures, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0203205
dc.identifierhttp://arxiv.org/abs/math/0203205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63611
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57M25 (Primary); 49Q10, 53A04 (Secondary)
dc.titleApproximating Ropelength by Energy Functions
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