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Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus.
- Source :
-
Proceedings of the American Mathematical Society . Mar2024, Vol. 152 Issue 3, p1019-1030. 12p. - Publication Year :
- 2024
-
Abstract
- Let f and g be two Anosov diffeomorphisms on \mathbb {T}^3 with three-subbundles partially hyperbolic splittings where the weak stable subbundles are considered as center subbundles. Assume that f is conjugate to g and the conjugacy preserves the strong stable foliation, then their center Lyapunov exponents of corresponding periodic points coincide. This is the converse of the main result of Gogolev and Guysinsky [Discrete Contin. Dyn. Syst. 22 (2008), pp. 183–200]. Moreover, we get the same result for partially hyperbolic diffeomorphisms derived from Anosov on \mathbb {T}^3. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LYAPUNOV exponents
*DIFFEOMORPHISMS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 152
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 175006892
- Full Text :
- https://doi.org/10.1090/proc/16587