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A curve in the unstable foliation of an Anosov diffeomorphism with globally defined holonomy

Published online by Cambridge University Press:  08 October 2013

VICTOR KLEPTSYN  and
YURY KUDRYASHOV
VICTOR KLEPTSYN
Affiliation:
CNRS, Institut de Recherche Mathématique de Rennes (IRMAR, UMR 6625 CNRS), France email victor.kleptsyn@univ-rennes1.fr
YURY KUDRYASHOV
Affiliation:
National Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, Moscow 101000, Russia email urkud@mccme.ru
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Abstract

We construct a curve in the unstable foliation of an Anosov diffeomorphism such that the holonomy along this curve is defined on all of the corresponding stable leaves.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 35 , Issue 3 , May 2015 , pp. 935 - 943
Copyright
© Cambridge University Press, 2013 

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