Infinitesimal bending of knots and energy change

Louis H. Kauffman, Ljubica S. Velimirović, Marija S. Najdanović, Svetozar R. Rančić

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We discuss the infinitesimal bending of curves and knots in â.,Š3. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the Möbius energy under infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.

Original languageEnglish
Article number1940009
Number of pages15
JournalJournal of Knot Theory and its Ramifications
Volume28
Issue number11
DOIs
Publication statusPublished - 1 Oct 2019

Keywords

  • C++
  • Infinitesimal bending
  • knot
  • Möbius energy
  • OpenGL
  • variation
  • Willmore energy
  • WILLMORE ENERGY
  • INVARIANTS
  • Mobius energy
  • RIGIDITY
  • C plus

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