Sectional Lyapunov exponents
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Abstract:
We define sectional Lyapunov exponents and use them to characterize sectional Anosov flows in terms of dominated splittings. In particular we improve a result of Sataev.References
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Additional Information
- Alexander Arbieto
- Affiliation: Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, 21945-970 Rio de Janeiro, Brazil
- ORCID: 0000-0002-4134-0082
- Email: arbieto@im.ufrj.br
- Received by editor(s): October 8, 2009
- Published electronically: April 21, 2010
- Additional Notes: This work was partially supported by CNPq and by Faperj. The author thanks Prof. C. Morales for his useful comments.
- Communicated by: Yingfei Yi
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 3171-3178
- MSC (2010): Primary 37C10; Secondary 37D25
- DOI: https://doi.org/10.1090/S0002-9939-10-10410-9
- MathSciNet review: 2653942