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Jurdjevic, Velimir.

Integrable Hamiltonian systems on complex Lie groups / [electronic resource] V. Jurdjevic. - Providence, R.I. : American Mathematical Society, 2005. - 1 online resource (viii, 133 p. : ill.) - Memoirs of the American Mathematical Society, v. 838 0065-9266 (print); 1947-6221 (online); .

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

Includes bibliographical references (p. 132-133).

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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470404390 (online)

Subjects--Topical Terms:
Hamiltonian systems.
Lie groups.
Manifolds (Mathematics)

LC Class. No.: QA3 QA614.83 / .A57 no. 838

Dewey Class. No.: 510 s 512/.482