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Journal of the London Mathematical Society (1)

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RIGIDITY OF HYPERBOLIC SETS ON SURFACES
A. A. PINTO, D. A. RAND
Journal:

Journal of the London Mathematical Society / Volume 71 / Issue 2 / April 2005

Published online by Cambridge University Press:

06 April 2005, pp. 481-502

Print publication:

April 2005
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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.