Article contents
Isometries and certain dynamical systems
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that there exists a metric under which a diffeomorphism f on a Riemannian manifold M becomes an isometry, provided that the dynamical system generated by f is of characteristic 0± and all its orbits are closed. Furthermore, it is shown that the foliation given by the suspension of f is parallel in this case.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 30 , Issue 2 , October 1984 , pp. 239 - 246
- Copyright
- Copyright © Australian Mathematical Society 1984
References
- 2
- Cited by