On some knot energies involving Menger curvature

DOI10.1016/j.topol.2013.05.022zbMath1282.49034arXiv1209.1527OpenAlexW2154396320MaRDI QIDQ387182

Marta Szumańska, Paweł Strzelecki, Heiko von der Mosel

Publication date: 20 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1527

zbMATH Keywords

Menger curvatureknot energiesself-repulsive energy functional

Mathematics Subject Classification ID

Related Items (12)

On the analyticity of critical points of the generalized integral Menger curvature in the Hilbert case ⋮ Symmetric critical knots for O'Hara's energies ⋮ Triangulating surfaces with bounded energy ⋮ Discrete Möbius energy ⋮ Banach gradient flows for various families of knot energies ⋮ Tangent-point energies and ropelength as gamma-limits of discrete tangent-point energies on biarc curves ⋮ Self‐repulsiveness of energies for closed submanifolds ⋮ Integral Menger curvature and rectifiability of $n$-dimensional Borel sets in Euclidean $N$-space ⋮ Minimal Ws,ns$W^{s,\frac{n}{s}}$‐harmonic maps in homotopy classes ⋮ Symmetric elastic knots ⋮ Discrete thickness ⋮ Discrete thickness

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