The total torsion of knots under second order infinitesimal bending

DOI10.2298/AADM200206035NzbMath1499.53009MaRDI QIDQ3390786

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

Publication date: 25 March 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

second variationknotfirst variationtotal torsionsecond-order infinitesimal bending

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)

Cites Work

• Higher order infinitesimal bending of a class of toroids
• Curvature and torsion of the tight closed trefoil knot
• Infinitesimal \(F\) -planar transformations
• Total torsion of closed lines of curvature
• The total curvature of knots under second-order infinitesimal bending
• Infinitesimal bending of knots and energy change
• Second order infinitesimal bending of curves
• Infinitesimal rotary transformation
• Total normalcy of knots
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