Book contents
- Frontmatter
- Contents
- Preface
- Part I Symmetries and Integrals
- Part II Symplectic Algebra
- Part III Monge–Ampère Equations
- 9 Symplectic manifolds
- 10 Contact manifolds
- 11 Monge–Ampère equations
- 12 Symmetries and contact transformations of Monge–Ampère equations
- 13 Conservation laws
- 14 Monge–Ampère equations on two-dimensional manifolds and geometric structures
- 15 Systems of first-order partial differential equations on two-dimensional manifolds
- Part IV Applications
- Part V Classification of Monge–Ampère equations
- References
- Index
9 - Symplectic manifolds
from Part III - Monge–Ampère Equations
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface
- Part I Symmetries and Integrals
- Part II Symplectic Algebra
- Part III Monge–Ampère Equations
- 9 Symplectic manifolds
- 10 Contact manifolds
- 11 Monge–Ampère equations
- 12 Symmetries and contact transformations of Monge–Ampère equations
- 13 Conservation laws
- 14 Monge–Ampère equations on two-dimensional manifolds and geometric structures
- 15 Systems of first-order partial differential equations on two-dimensional manifolds
- Part IV Applications
- Part V Classification of Monge–Ampère equations
- References
- Index
Summary

- Type
- Chapter
- Information
- Contact Geometry and Nonlinear Differential Equations , pp. 183 - 200Publisher: Cambridge University PressPrint publication year: 2006