Article contents
Non-Smooth Geodesic Flows and Classical Mechanics
Published online by Cambridge University Press: 20 November 2018
Extract
As is well known, there is an intimate connection between geodesic flows and Hamiltonian systems. In fact, if g is a Riemannian, or pseudo-Riemannian metric on a manifold M (we think of M as q-space or the configuration space), we may define a smooth function Tg on the cotangent bundle T*M (q-p-space, or the phase space). This function is the kinetic energy of q, and locally is given by
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1969
References
- 3
- Cited by