Geometric properties and problems of thick knots

Sábháilte in:
Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Diao, Yuanan
Údar corparáideach: ebrary, Inc
Rannpháirtithe: Ernst, Claus
Formáid: Leictreonach Ríomhleabhar
Teanga:Béarla
Foilsithe / Cruthaithe: New York : Nova Science Publishers, c2009.
Sraith:Mathematics research developments series.
Ábhair:
Rochtain ar líne:An electronic book accessible through the World Wide Web; click to view
Clibeanna: Cuir clib leis
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Clár na nÁbhar:
  • 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.