A mechanical connection on the group of volume-preserving diffeomorphisms

DOI10.1007/BF01077605zbMath0697.58010OpenAlexW2041116635MaRDI QIDQ5966352

Yu. S. Baranov, Yuri E. Gliklikh

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077605

zbMATH Keywords

incompressible fluidgeodesicsgeodesic flowvolume-preserving diffeomorphisms

Mathematics Subject Classification ID

Applications of manifolds of mappings to the sciences (58D30) Incompressible inviscid fluids (76B99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Foundations of fluid mechanics (76A02)

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Reduction of some classical non-holonomic systems with symmetry

Cites Work

• Groups of diffeomorphisms and the motion of an incompressible fluid