| Full text | |
| Author(s): |
Varao, R.
[1]
Total Authors: 1
|
| Affiliation: | [1] ICMC USP, Dept Matemat, Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 30, n. 2, p. 189-199, APR 3 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper is concerned with the rigidity problem for volume preserving partially hyperbolic diffeomorphisms on {[}GRAPHICS] homotopic to a linear Anosov on {[}GRAPHICS] . We characterize the C1+theta conjugacy of such diffeomorphisms in terms of smooth conditions on the stable and unstable foliations. The smooth conditions on the foliations are to be C-1 foliations and transversely absolutely continuous with bounded Jacobians. In particular these conditions for only one direction (stable, centre or unstable) completely determine the Lyapunov exponents. (AU) | |
| FAPESP's process: | 12/06553-9 - Partially hyperbolic diffeomorphisms: absolute continuity, rigidity, Lyapunov exponents |
| Grantee: | José Régis Azevedo Varão Filho |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 11/21214-3 - Absolute continuity of the central foliation for partially hyperbolic systems |
| Grantee: | José Régis Azevedo Varão Filho |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |