Rigidity of hyperbolic sets on surfaces

• Autores: A. A. Pinto, D. A. Rand
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 2, 2005, págs. 481-502
• Idioma: inglés
• DOI: 10.1112/s0024610704006052
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• Resumen

  • 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 conjugate to a hyperbolic affine model.