Topological lower bounds on the distance between area preserving diffeomorphisms

DOI10.1007/BF01377592zbMath0976.58007OpenAlexW2010905806MaRDI QIDQ4488743

Maxime Lagrange, Jean-Marc Gambaudo

Publication date: 12 December 2001

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01377592

zbMATH Keywords

invariant metricgroups of diffeomorphismstopological invariantarea preserving mapsasymptotic crossing number

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (6)

The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms ⋮ The \(L^p\)-diameter of the group of area-preserving diffeomorphisms of \(S^2\) ⋮ A short proof that the \(L^p\)-diameter of \(\mathrm{Diff}_0(S,\mathrm{area})\) is infinite ⋮ On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc ⋮ Spaces of knots in the solid torus, knots in the thickened torus, and links in the 3-sphere ⋮ Metric properties of the group of area preserving diffeomorphisms

Cites Work

• Divergence-free fields: Energy and asymptotic crossing number
• Asymptotic links
• Topological methods in hydrodynamics
• The diameter of the symplectomorphism group is infinite
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Energy-crossing number relations for braided magnetic fields
• ON THE GEOMETRY OF THE GROUP OF DIFFEOMORPHISMS AND THE DYNAMICS OF AN IDEAL INCOMPRESSIBLE FLUID
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