Infinitesimal bending of knots and energy change
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Publication:4973350
DOI10.1142/S0218216519400091zbMath1429.53004arXiv2003.07024OpenAlexW2968522483WikidataQ127369863 ScholiaQ127369863MaRDI QIDQ4973350
Svetozar R. Rančić, Marija S. Najdanović, Ljubica S. Velimirović, Louis H. Kauffman
Publication date: 3 December 2019
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07024
Curves in Euclidean and related spaces (53A04) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Knot theory (57K10)
Related Items (2)
An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane ⋮ The total torsion of knots under second order infinitesimal bending
Cites Work
- A Willmore-Helfrich \(L^2\)-flow of curves with natural boundary conditions
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- Infinitesimal rigidity and flexibility of a non-symmetric affine connection space
- Quantum field theory and the Jones polynomial
- Bending of surfaces. II
- Invariants of 3-manifolds via link polynomials and quantum groups
- Curvebend graphical tool for presentation of infinitesimal bending of curves
- Hamiltonians for curves
- Second order infinitesimal bending of curves
- Infinitesimal bending influence on the Willmore energy of curves
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