High-dimensional helicities and rigidity of linked foliations.

DOI10.4310/AJM.2002.v6.n3.a6zbMath1045.57017OpenAlexW2734102861MaRDI QIDQ1811405

Tristan Rivière

Publication date: 9 October 2003

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/ajm.2002.v6.n3.a6

zbMATH Keywords

foliationsenergiesHopf-Novikov helicities

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Comparison of PL-structures: classification, Hauptvermutung (57Q25)

Related Items (7)

Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II ⋮ Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows ⋮ Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation ⋮ On volume-preserving vector fields and finite-type invariants of knots ⋮ Link Invariants of Electromagnetic Fields ⋮ The third order helicity of magnetic fields via link maps ⋮ Helicity of vector fields preserving a regular contact form and topologically conjugate smooth dynamical systems

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