Signature asymptotique d'un champ de vecteurs en dimension 3. (Asymptotic signature of a vector field in dimension 3)

DOI10.1215/S0012-7094-01-10613-3zbMath1010.37010OpenAlexW2085490222MaRDI QIDQ1847791

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10613-3

zbMATH Keywords

asymptotic Hopf invariant volume preserving vector field

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Dynamics induced by flows and semiflows (37C10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (12)

Braiding minimal sets of vector fields ⋮ Asymptotic Rasmussen invariant ⋮ The trunkenness of a volume-preserving vector field ⋮ Helicity is the only integral invariant of volume-preserving transformations ⋮ The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids ⋮ On volume-preserving vector fields and finite-type invariants of knots ⋮ On the zeroes of the Alexander polynomial of a Lorenz knot ⋮ Asymptotic invariants of 3-dimensional vector fields ⋮ Asymptotic Vassiliev Invariants for Vector Fields ⋮ Existence of knotted vortex tubes in steady Euler flows ⋮ Helicity of vector fields preserving a regular contact form and topologically conjugate smooth dynamical systems ⋮ Geodesic flow, left-handedness and templates

Cites Work

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