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Canonical maps between semidirect products with applications to elasticity and superfluids

✍ Scribed by Boris A. Kupershmidt; Tudor Ratiu


Publisher
Springer
Year
1983
Tongue
English
Weight
922 KB
Volume
90
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES


The Euler–Poincaré Equations and Semidir
✍ Darryl D Holm; Jerrold E Marsden; Tudor S Ratiu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 825 KB

We study Euler Poincare systems (i.e., the Lagrangian analogue of Lie Poisson Hamiltonian systems) defined on semidirect product Lie algebras. We first give a derivation of the Euler Poincare equations for a parameter dependent Lagrangian by using a variational principle of Lagrange d'Alembert type.