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RIGIDITY OF HYPERBOLIC SETS ON SURFACES

Published online by Cambridge University Press:  06 April 2005

A. A. PINTO  and
D. A. RAND
A. A. PINTO
Affiliation:
Faculdade de Ciencias, Universidade do Porto, 4000 Porto, [email protected]
D. A. RAND
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, United [email protected]
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Abstract

Given a hyperbolic invariant set of a diffeomorphism on a surface, it is proved that, if the holonomies are sufficiently smooth, then the diffeomorphism on the hyperbolic invariant set is rigid in the sense that it is C$^{1+}$ conjugate to a hyperbolic affine model.

Keywords

37D20 (primary)37E30 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 481 - 502
Copyright
The London Mathematical Society 2005

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