Another Proof for the Existence of Dominated Splitting for Robustly Ergodic Diffeomorphisms
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Authors
Alireza Zamani Bahabadi
- Department of Mathematics Ferdowsi University of Mashhad, Mashhad, Iran.
Abstract
In this paper we show that any robustly ergodic system admits a dominated splitting without
using pasting lemma for conservative diffeomorphisms .
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ISRP Style
Alireza Zamani Bahabadi, Another Proof for the Existence of Dominated Splitting for Robustly Ergodic Diffeomorphisms, Journal of Mathematics and Computer Science, 6 (2013), no. 1, 13-17
AMA Style
Bahabadi Alireza Zamani, Another Proof for the Existence of Dominated Splitting for Robustly Ergodic Diffeomorphisms. J Math Comput SCI-JM. (2013); 6(1):13-17
Chicago/Turabian Style
Bahabadi, Alireza Zamani. "Another Proof for the Existence of Dominated Splitting for Robustly Ergodic Diffeomorphisms." Journal of Mathematics and Computer Science, 6, no. 1 (2013): 13-17
Keywords
- Ergodic
- dominated splitting
- conservative diffeomorphism.
MSC
References
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[1]
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C. Bonatti, L. Diaz, E. Pujals, A \(C^1\) -generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources , Ann. Math. , 158 (2003), 355-418
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C. Bonatti, N. Gourmelon, T. Vivier, Perturbations of the derivatives along periodic orbit, Ergodic Theory Dynam, systems, 26 (2006), 1307-1377
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A. Tahzibi, Robust transitivity almost robust ergodicity, Ergodic Theory and Dynamical Systems, 24:4 (2004), 1261-1269
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P. Zhang, Diffeomorphisms with global dominated splittings cannot be minimal, Proc. Am. Math. Soc., 140 (2012), 589 – 593
