Repulsive knot energies and pseudodifferential calculus for O’Hara’s knot energy family E (α) , α ∈ [2, 3)

DOI10.1002/mana.201000090zbMath1248.42009OpenAlexW2118867667MaRDI QIDQ2888905

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Publication date: 4 June 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201000090

zbMATH Keywords

knot energyMöbius energybilinear Fourier multiplierperfect knot forms

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Multipliers in one variable harmonic analysis (42A45)

Related Items (19)

On the analyticity of critical points of the Möbius energy ⋮ On the analyticity of critical points of the generalized integral Menger curvature in the Hilbert case ⋮ Towards a regularity theory for integral Menger curvature ⋮ Discrete Möbius energy ⋮ Tangent-point repulsive potentials for a class of non-smooth \(m\)-dimensional sets in \(\mathbb R^n\). I: smoothing and self-avoidance effects ⋮ Residues of manifolds ⋮ Self‐repulsiveness of energies for closed submanifolds ⋮ Möbius-invariant self-avoidance energies for non-smooth sets of arbitrary dimension and co-dimension ⋮ Stationary points of O'Hara's knot energies ⋮ Variational formulae and estimates of O’Hara’s knot energies ⋮ Möbius invariant metrics on the space of knots ⋮ The gradient flow of O'Hara's knot energies ⋮ Numerical solution of a bending-torsion model for elastic rods ⋮ Menger curvature as a knot energy ⋮ The elastic trefoil is the doubly covered circle ⋮ Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth ⋮ Decomposition of generalized O'Hara's energies ⋮ Integro-Differential Harmonic Maps into Spheres ⋮ On the regularity of critical points for O’Hara’s knot energies: From smoothness to analyticity

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