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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jurdjevic, Velimir
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2005.
Colección:Memoirs of the American Mathematical Society ; no. 838.
Temas:
Acceso en línea:Texto completo

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520 8 |a 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 its n-dimensional extensions Cartan algebras, root spaces and extra integrals of motion Elastic curves for the case of Lagrange Elastic curves for the case of Kowalewski Bibliography. 
505 0 0 |t 1. Introduction  |t 2. Cartan decomposition and the generalized elastic problems  |t 3. The maximum principle and the Hamiltonians  |t 4. The left-invariant symplectic form  |t 5. Symmetries and the conservation laws  |t 6. Complexified elastic problems  |t 7. Complex elasticae of Euler and its $n$-dimensional extensions  |t 8. Cartan algebras, root spaces and extra integrals of motion  |t 9. Elastic curves for the case of Lagrange  |t 10. Elastic curves for the case of Kowalewski. 
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650 0 |a Lie groups. 
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650 6 |a Systèmes hamiltoniens. 
650 6 |a Groupes de Lie. 
650 6 |a Variétés (Mathématiques) 
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650 7 |a Lie groups  |2 fast 
650 7 |a Manifolds (Mathematics)  |2 fast 
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