Integrable systems on Lie algebras and symmetric spaces
by A. T. Fomenko and V. V. Trofimov ; translated from the Russian by A. Karaulov, P. D. Rayfield and A. Weisman.
New York : Gordon and Breach Science Publishers, 1988.
xii, 294 págs. : ilustraciones ; 24 cm.
Serie: Advanced studies in contemporary mathematics, ISSN 0884-0016 ; v. 2
ISBN: 2881241700
Traducción de: Integriruemye sistemy na algebrakh Li i simmetricheskikh prostranstvakh.
Bibliografía: p. 281-291.
Reseña: MathSciNet, 90d:58035
Contenido
- 1. Symplectic geometry and the integration of Hamiltonian systems
- 2. Sectional operators and their applications
- 3. Sectional operators on symmetric spaces
- 4. Methods of construction of functions in involution on orbits of coadjoint representation of Lie groups
- 5. Complete integrability of Hamiltonian systems on orbits of Lie algebras.