1.

Record Nr.

UNINA9910788750103321

Autore

Jurdjevic Velimir

Titolo

Integrable Hamiltonian systems on complex Lie groups / / V. Jurdjevic

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2005]

©2005

ISBN

1-4704-0439-7

Descrizione fisica

1 online resource (150 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 838

Disciplina

510 s

512/.482

Soggetti

Hamiltonian systems

Lie groups

Manifolds (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 178, number 838 (second of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 132-133).

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Cartan decomposition and the Generalized elastic problems""; ""Chapter 3. The Maximum Principle and the Hamiltonians""; ""Chapter 4. The left-invariant symplectic form""; ""Chapter 5. Symmetries and the conservation laws""; ""Part 2. Complex Lie groups and complex Hamiltonians""; ""Chapter 6. Complexified elastic problems""; ""Chapter 7. Complex elasticae of Euler and its n-dimensional extensions""; ""Chapter 8. Cartan algebras, root spaces and extra integrals of motion""; ""Chapter 9. Elastic Curves for the case of Lagrange""

""Chapter 10. Elastic Curves for the case of Kowalewski""""Bibliography""