Moebius energy of thick knots

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dc.creatorRawdon, Eric J.
dc.creatorSimon, Jonathan
dc.date2001-08-30
dc.date.accessioned2026-07-07T04:43:12Z
dc.date.available2026-07-07T04:43:12Z
dc.descriptionThe Moebius energy of a knot is an energy functional for smooth curves based on an idea of self-repelling. If a knot has a thick tubular neighborhood, we would intuitively expect the energy to be low. In this paper, we give explicit bounds for energy in terms of the ropelength of the knot, i.e. the ratio of the length of a thickest tube to its radius.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0108215
dc.identifierhttp://arxiv.org/abs/math/0108215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62111
dc.subjectGeometric Topology
dc.subject57M25
dc.titleMoebius energy of thick knots
dc.typetext

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