Canonical maps between semidirect products with applications to elasticity and superfluids

DOI10.1007/BF01205505zbMath0523.58036MaRDI QIDQ1056447

Boris A. Kupershmidt, Tudor S. Ratiu

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

elastodynamicsCauchy stress tensorLie-Poisson bracketequivariant momentum mapanisotropic superfluid with spinorder parameters for superfluidssemidirect product of Lie algebras

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Applications of dynamical systems (37N99) Elastic materials (74B99)

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Cites Work

• The local structure of Poisson manifolds
• Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
• Theory of anisotropic micropolar fluids
• The moment map and collective motion
• Semidirect Products and Reduction in Mechanics
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