Book contents
- Frontmatter
- Contents
- Acknowledgments
- Introduction
- Chapter 1 The Orbit Theorem and Lie determined systems
- Chapter 2 Control systems: accessibility and controllability
- Chapter 3 Lie groups and homogeneous spaces
- Chapter 4 Symplectic manifolds: Hamiltonian vector fields
- Chapter 5 Poisson manifolds, Lie algebras, and coadjoint orbits
- Chapter 6 Hamiltonians and optimality: the Maximum Principle
- Chapter 7 Hamiltonian view of classic geometry
- Chapter 8 Symmetric spaces and sub-Riemannian problems
- Chapter 9 Affine-quadratic problem
- Chapter 10 Cotangent bundles of homogeneous spaces as coadjoint orbits
- Chapter 11 Elliptic geodesic problem on the sphere
- Chapter 12 Rigid body and its generalizations
- Chapter 13 Isometry groups of space forms and affine systems: Kirchhoff's elastic problem
- Chapter 14 Kowalewski–Lyapunov criteria
- Chapter 15 Kirchhoff–Kowalewski equation
- Chapter 16 Elastic problems on symmetric spaces: the
- Chapter 17 The non-linear Schroedinger's equation and Heisenberg's magnetic equation–solitons
- References
- Index
Contents
Published online by Cambridge University Press: 05 May 2016
- Frontmatter
- Contents
- Acknowledgments
- Introduction
- Chapter 1 The Orbit Theorem and Lie determined systems
- Chapter 2 Control systems: accessibility and controllability
- Chapter 3 Lie groups and homogeneous spaces
- Chapter 4 Symplectic manifolds: Hamiltonian vector fields
- Chapter 5 Poisson manifolds, Lie algebras, and coadjoint orbits
- Chapter 6 Hamiltonians and optimality: the Maximum Principle
- Chapter 7 Hamiltonian view of classic geometry
- Chapter 8 Symmetric spaces and sub-Riemannian problems
- Chapter 9 Affine-quadratic problem
- Chapter 10 Cotangent bundles of homogeneous spaces as coadjoint orbits
- Chapter 11 Elliptic geodesic problem on the sphere
- Chapter 12 Rigid body and its generalizations
- Chapter 13 Isometry groups of space forms and affine systems: Kirchhoff's elastic problem
- Chapter 14 Kowalewski–Lyapunov criteria
- Chapter 15 Kirchhoff–Kowalewski equation
- Chapter 16 Elastic problems on symmetric spaces: the
- Chapter 17 The non-linear Schroedinger's equation and Heisenberg's magnetic equation–solitons
- References
- Index
Summary

- Type
- Chapter
- Information
- Optimal Control and Geometry: Integrable Systems , pp. v - viiiPublisher: Cambridge University PressPrint publication year: 2016