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Sectional Lyapunov exponents
Author(s):
Alexander
Arbieto
Journal:
Proc. Amer. Math. Soc.
138
(2010),
3171-3178.
MSC (2010):
Primary 37C10;
Secondary 37D25
Posted:
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.
References:
-
- 1.
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- 2.
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- 3.
- Arbieto, A., Morales, C. and Senos, L., On the sensitivity of Sectional-Anosov Flows. Submitted to Communications on Mathematical Physics, 2009.
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- 9.
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- 10.
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- 11.
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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:
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
Posted:
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 of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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