The geometry of ordinary variational equations
Olga Krupková.
Berlin ; New York : Springer-Verlag, ©1997.
x, 251 págs. ; 24 cm.
Serie: Lecture notes in mathematics ; 1678
ISBN: 3540638326
Incluye referencias bibliográficas (p. [229]-245) e índice.
Reseña: MathSciNet, 98i:58090
Contenido
- 1. Introduction
- 2. Basic geometric tools
- 3. Lagrangean dynamics on fibered manifolds
- 4. Variational equations
- 5. Hamiltonian systems
- 6. Regular Lagrangean systems
- 7. Singular Lagrangean systems
- 8. Symmetries of Lagrangean systems
- 9. Geometric integration methods
- 10. Lagrangean systems on $\pi : R \times M \rightarrow R$.
