The invariance of decomposed Möbius energies under inversions with center on curves

DOI10.1142/S0218216516500097zbMath1338.53005MaRDI QIDQ2796949

Aya Ishizeki, Takeyuki Nagasawa

Publication date: 30 March 2016

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

zbMATH Keywords

Möbius transformationsdecomposition of energyMöbius energyMöbus invarianceO'Hara knot energies

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)

Related Items (5)

On the analyticity of critical points of the Möbius energy ⋮ Möbius-invariant self-avoidance energies for non-smooth sets of arbitrary dimension and co-dimension ⋮ Decomposition of generalized O'Hara's energies ⋮ Upper and lower bounds and modulus of continuity of decomposed Möbius energies ⋮ Curves between Lipschitz and \(C^1\) and their relation to geometric knot theory

Cites Work

• A decomposition theorem of the Möbius energy. II: Variational formulae and estimates
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