A Möbius invariant discretization of O’Hara’s Möbius energy

DOI10.1142/S021821652250016XzbMath1496.57004arXiv1809.07984OpenAlexW2890178721MaRDI QIDQ5081305

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Publication date: 14 June 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07984

zbMATH Keywords

discretization\(\Gamma\)-convergenceMöbius invarianceknot-energyMöbius-energy

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04) Knot theory (57K10)

Related Items (1)

Möbius-invariant self-avoidance energies for non-smooth sets of arbitrary dimension and co-dimension

Cites Work

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• Energy of a knot
• Energy functionals of knots. II
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• Global curvature and self-contact of nonlinearly elastic curves and rods
• On the minimum ropelength of knots and links
• Curves between Lipschitz and \(C^1\) and their relation to geometric knot theory
• Discrete Möbius energy
• BOUNDEDNESS AND REGULARIZING EFFECTS OF O'HARA'S KNOT ENERGIES
• Torus Knots Extremizing the Möbius Energy
• ENERGY FUNCTIONS FOR POLYGONAL KNOTS

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