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https://hdl.handle.net/10216/95411| Author(s): | A. A. Pinto D. A. Rand |
| Title: | Smoothness of holonomies for codimension 1 hyperbolic dynamics |
| Issue Date: | 2002 |
| Abstract: | Hyperbolic invariant sets A of C1+gamma diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper, Under the assumption that the A has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C1+alpha for some 0 < alpha < 1. |
| Description: | Hyperbolic invariant sets Λ of C^{1+γ} diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper. Under the assumption that the Λ has local product structure, the authors prove that the holonomies between the 1-dimensional leaves are C^{1+α} for some 0 < α < 1. |
| Subject: | Matemática Mathematics |
| Scientific areas: | Ciências exactas e naturais::Matemática Natural sciences::Mathematics |
| DOI: | 10.1112/s0024609301008670 |
| URI: | https://hdl.handle.net/10216/95411 |
| Document Type: | Artigo em Revista Científica Internacional |
| Rights: | restrictedAccess |
| Appears in Collections: | FCUP - Artigo em Revista Científica Internacional |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 48760.pdf Restricted Access | 329.15 kB | Adobe PDF | View/Open |
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