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Isometries and certain dynamical systems

Published online by Cambridge University Press:  17 April 2009

Saber Elaydi  and
Hani R. Farran
Saber Elaydi
Affiliation:
Department of Mathematics, University of Colorado, Colorado Springs, Colorado, 80933, U.S.A.
Hani R. Farran
Affiliation:
Department of Mathematics, Kuwait University, P. O. Box 5969, Kuwait.
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Abstract

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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

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