Another dichotomy for surface diffeomorphisms
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- by C. Morales PDF
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Abstract:
We prove that a $C^1$ generic orientation-preserving diffeomorphism of a closed orientable surface either has infinitely many periodic points with complex (nonreal) eigenvalues or is Axiom A without cycles. This improves Mañé’s dichotomy.References
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Additional Information
- C. Morales
- Affiliation: Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, 21945-970, Rio de Janeiro, RJ, Brazil
- MR Author ID: 611238
- ORCID: 0000-0002-4808-6902
- Email: morales@impa.br
- Received by editor(s): August 18, 2008
- Published electronically: March 27, 2009
- Communicated by: Jane M. Hawkins
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 2639-2644
- MSC (2000): Primary 37D30; Secondary 37E30
- DOI: https://doi.org/10.1090/S0002-9939-09-09879-7
- MathSciNet review: 2497476