A decomposition theorem of the Möbius energy I: decomposition and Möbius invariance
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Publication:487290
DOI10.2996/kmj/1414674619zbMath1312.53008OpenAlexW2042682417MaRDI QIDQ487290
Takeyuki Nagasawa, Aya Ishizeki
Publication date: 19 January 2015
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.kmj/1414674619
Related Items (13)
On the analyticity of critical points of the Möbius energy ⋮ The \( L^2 \)-gradient of decomposed Möbius energies ⋮ Residues of manifolds ⋮ Möbius-invariant self-avoidance energies for non-smooth sets of arbitrary dimension and co-dimension ⋮ Variational formulae and estimates of O’Hara’s knot energies ⋮ Möbius invariant metrics on the space of knots ⋮ A decomposition theorem of the Möbius energy. II: Variational formulae and estimates ⋮ Decomposition of generalized O'Hara's energies ⋮ Upper and lower bounds and modulus of continuity of decomposed Möbius energies ⋮ Regularization of Neumann and Weber formulae for inductance ⋮ Sobolev gradients for the Möbius energy ⋮ On O'Hara knot energies. I: Regularity for critical knots ⋮ Curves between Lipschitz and \(C^1\) and their relation to geometric knot theory
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