Geometric properties and problems of thick knots

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Bibliografiske detaljer
Hovedforfatter: Diao, Yuanan
Institution som forfatter: ebrary, Inc
Andre forfattere: Ernst, Claus
Format: Electronisk eBog
Sprog:engelsk
Udgivet: New York : Nova Science Publishers, c2009.
Serier:Mathematics research developments series.
Fag:
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Indholdsfortegnelse:
  • Introduction
  • Some basic facts of knot theory
  • Thicknesses of knots
  • Ropelengths of knots
  • Smooth knots vs knots on the cubic lattice
  • Global lower bound on ropelength of knots
  • General lower bounds on ropelength of knots
  • General upper bounds on ropelength of knots
  • Ropelength upper bounds for special classes of knots
  • The spectrum of powers realizable by thick knots
  • Total curvature of thick knots
  • The linking number of a thick link with two or more components
  • Some open questions.