scientific article

zbMath0605.58021MaRDI QIDQ3742370

Lucette Losco, Ernesto A. Lacomba

Publication date: 1986

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1986__45_1_99_0

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zbMATH Keywords

variational principlesEuler equationsRiemannian manifoldshydrodynamicsgroup of diffeomorphismsHamiltonian and contact vector fields

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Incompressible inviscid fluids (76B99)

Cites Work

• Variational characterization of contact vector fields in the group of contact diffeomorphisms
• On a differential structure for the group of diffeomorphisms
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Triple collisions in the isosceles 3-body problem
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