Universal growth law for knot energy of Faddeev type in general dimensions

DOI10.1098/rspa.2008.0128zbMath1152.58304OpenAlexW2022379812MaRDI QIDQ5505105

Fang-Hua Lin, Yisong Yang

Publication date: 23 January 2009

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2008.0128

zbMATH Keywords

Sobolev inequalitiesHopf fibrationHopf invariantknot energyideal knotsenergy-topology growth laws

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82B99) Topological field theories in quantum mechanics (81T45) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Other special methods applied to PDEs (35A25)

Related Items (1)

Abelian Hopfions of the \(\mathbb{CP}^n\) model on \(\mathbb{R}^{2n+1}\) and a fractionally powered topological lower bound

Cites Work

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• Some Cohomology Classes in Principal Fiber Bundles and Their Application to Riemannian Geometry
• An Expression of Hopf's Invariant as an Integral
• Faddeev-Hopf knots: Dynamics of linked un-knots

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