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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Sectional Lyapunov exponents


Author: Alexander Arbieto
Journal: Proc. Amer. Math. Soc. 138 (2010), 3171-3178
MSC (2010): Primary 37C10; Secondary 37D25
Published electronically: April 21, 2010
MathSciNet review: 2653942
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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.


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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
Email: arbieto@im.ufrj.br

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10410-9
PII: S 0002-9939(10)10410-9
Keywords: Lyapunov exponents, sectional Anosov flows.
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.