Total normalcy of knots

DOI10.2298/FIL1904259RzbMath1499.53011OpenAlexW2998075885MaRDI QIDQ5080741

Marija S. Najdanović, Svetozar R. Rančić, Ljubica S. Velimirović

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1904259r

zbMATH Keywords

knotcurvefirst variationfirst-order infinitesimal bendingtotal normalcy

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Knot theory (57K10)

Related Items (1)

The total torsion of knots under second order infinitesimal bending

Uses Software

• CurveBend

Cites Work

• Total curvature and packing of knots
• Curvature and torsion of the tight closed trefoil knot
• On the total curvature of knots
• On torus knots and unknots
• Curvebend graphical tool for presentation of infinitesimal bending of curves
• Second order infinitesimal bending of curves
• Infinitesimal bending influence on the Willmore energy of curves
• Sur la courbure totale d'une courbe gauche faisant un nœud
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