Please use this identifier to cite or link to this item:
https://hdl.handle.net/10216/98493| Author(s): | Ferreira, F Pinto, AA |
| Title: | Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces |
| Issue Date: | 2003 |
| Abstract: | For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics. |
| Description: | For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics. |
| Subject: | Matemática Mathematics |
| Scientific areas: | Ciências exactas e naturais::Matemática Natural sciences::Mathematics |
| DOI: | 10.1017/s0143385702001347 |
| URI: | https://hdl.handle.net/10216/98493 |
| Document Type: | Artigo em Revista Científica Internacional |
| Rights: | restrictedAccess |
| Appears in Collections: | FCUP - Artigo em Revista Científica Internacional |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 48561.pdf Restricted Access | 111.41 kB | Adobe PDF | View/Open |
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