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Mechanical normal forms of knots and flat knots

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Publication:455583
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DOI10.1134/S1061920811020105zbMath1302.57034arXiv1011.4891MaRDI QIDQ455583

A. B. Sossinskij

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4891

zbMATH Keywords

knotsminimal positionknot diagramknot energyflat knots


Mathematics Subject Classification ID


Related Items

Normal forms of twisted wire knots, Energy functionals and normal forms of knots and plane curves, Euler elasticae in the plane and the Whitney-Graustein theorem, Energies of knot diagrams, On the normal form of knots



Cites Work

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  • Unnamed Item
  • Links of tori and the energy of incompressible flows
  • Energy of a knot
  • Möbius energy of knots and unknots
  • On the total curvature of knots
  • Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals
  • The degree of knottedness of tangled vortex lines
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