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SMOOTHNESS OF HOLONOMIES FOR CODIMENSION 1 HYPERBOLIC DYNAMICS

Published online by Cambridge University Press:  22 May 2002

A. A. PINTO  and
D. A. RAND
A. A. PINTO
Affiliation:
Faculdade de Ciencias, Universidade do Porto, 4000 Porto, Portugal aapinto@fc.up.pt
D. A. RAND
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL dar@maths.warwick.ac.uk
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Abstract

Hyperbolic invariant sets Λ of C1+γ diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper. Under the assumption that the Λ has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C1+α for some 0 < α < 1.

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Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 3 , May 2002 , pp. 341 - 352
Copyright
© The London Mathematical Society 2002

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