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Conjugaison Géodésique en rang 1

Published online by Cambridge University Press:  17 April 2009

Hamid-Reza Fanaï
Hamid-Reza Fanaï
Affiliation:
Department of Mathematical Sciences, Sharif University of Technology, P.O.Box 11365–9415, Tehran, Iran, Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran, e-mail: [email protected]
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Soit (M, g0) une variété riemannienne compacte de courbure sectionnelle négative. Soit g1 une autre métrique riemannienne sur M de rang 1. On montre que l'égalité des spectres marqués des longueurs de g0 et g1 implique que le flot géodésique de g0 est un facteur de celui de g1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 1 , February 2005 , pp. 121 - 126
Copyright
Copyright © Australian Mathematical Society 2005

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