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Regularity of the Anosov splitting and of horospheric foliations

Published online by Cambridge University Press:  19 September 2008

Boris Hasselblatt
Boris Hasselblatt
Affiliation:
Department of Mathematics, Tufts University, Medford, MA 02155–5597, USA
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Abstract

‘Bunching’ conditions on an Anosov system guarantee the regularity of the Anosov splitting up to C2−ε. Open dense sets of symplectic Anosov systems and geodesic flows do not have Anosov splitting exceeding the asserted regularity. This is the first local construction of low-regularity examples.

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Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 4 , December 1994 , pp. 645 - 666
Copyright
Copyright © Cambridge University Press 1994

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