| Description |
1 online resource (viii, 133 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 838 |
|
Memoirs of the American Mathematical Society ; no. 838. 0065-9266
|
| Contents |
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 |
| Summary |
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 |
| Notes |
"Volume 178, number 838 (second of 5 numbers)." |
| Bibliography |
Includes bibliographical references (pages 132-133) |
| Notes |
Print version record |
| Subject |
Hamiltonian systems.
|
|
Lie groups.
|
|
Manifolds (Mathematics)
|
|
Hamiltonian systems
|
|
Lie groups
|
|
Manifolds (Mathematics)
|
| Form |
Electronic book
|
| ISBN |
9781470404390 |
|
1470404397 |
|
