Backlund transformations and knots of constant torsion

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dc.creatorCalini, Annalisa
dc.creatorIvey, Thomas
dc.date1996-08-07
dc.date.accessioned2026-07-07T09:12:50Z
dc.date.available2026-07-07T09:12:50Z
dc.descriptionThe Backlund transformation for pseudospherical surfaces, which is equivalent to that of the sine-Gordon equation, can be restricted to give a transformation on space curves that preserves constant torsion. We study its effects on closed curves (in particular, elastic rods) that generate multiphase solutions for the vortex filament flow (also known as the Localized Induction Equation). In doing so, we obtain analytic constant-torsion representatives for a large number of knot types.
dc.descriptionAMSTeX, 29 pages, 5 Postscript figures, uses BoxedEPSF.tex (all necessary files are included in backlund.tar.gz)
dc.identifierhttps://arxiv.org/abs/dg-ga/9608001
dc.identifierhttp://arxiv.org/abs/dg-ga/9608001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152154
dc.subjectDifferential Geometry
dc.titleBacklund transformations and knots of constant torsion
dc.typetext

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