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Integrable Hamiltonian systems on complex Lie groups /
Introduction Cartan decomposition and the generalized elastic problems The maximum principle and the Hamiltonians The left-invariant symplectic form Symmetries and the conservation laws Part 2. Complex Lie groups and complex Hamiltonians: Complexified elastic problems Complex elasticae of Euler and...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2005.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 838. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Introduction 2. Cartan decomposition and the generalized elastic problems 3. The maximum principle and the Hamiltonians 4. The left-invariant symplectic form 5. Symmetries and the conservation laws 6. Complexified elastic problems 7. Complex elasticae of Euler and its $n$-dimensional extensions 8. Cartan algebras, root spaces and extra integrals of motion 9. Elastic curves for the case of Lagrange 10. Elastic curves for the case of Kowalewski.