Author:
Elaydi Saber,Farran Hani R.
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.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. Stability Theory of Dynamical Systems
2. Dynamical systems of characteristic 0+
3. On characteristic 0 and locally weakly almost periodic flows;Elaydi;Math. Japonica,1982
Cited by
2 articles.
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1. Recurrence in Lipschitz stable flows;Bulletin of the Australian Mathematical Society;1988-10
2. On weak isometries and their embeddings in flows;Nonlinear Analysis: Theory, Methods & Applications;1984-01