Deformation and perturbative rigidity near de la Llave examples
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911372208504832 |
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| author | Gogolev, Andrey Leguil, Martin |
| author_facet | Gogolev, Andrey Leguil, Martin |
| contents | De la Llave's examples are Anosov diffeomorphisms on the four-torus $\mathbb{T}^4$ with constant Lyapunov spectrum, yet they are not $C^{1}$-conjugate to the linear model or to each other. Nevertheless, we show that such examples are ``locally exceptional'': we prove deformation and local rigidity for generic diffeomorphisms in proximity of de la Llave's examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08593 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Deformation and perturbative rigidity near de la Llave examples Gogolev, Andrey Leguil, Martin Dynamical Systems 37C15, 37D20 De la Llave's examples are Anosov diffeomorphisms on the four-torus $\mathbb{T}^4$ with constant Lyapunov spectrum, yet they are not $C^{1}$-conjugate to the linear model or to each other. Nevertheless, we show that such examples are ``locally exceptional'': we prove deformation and local rigidity for generic diffeomorphisms in proximity of de la Llave's examples. |
| title | Deformation and perturbative rigidity near de la Llave examples |
| topic | Dynamical Systems 37C15, 37D20 |
| url | https://arxiv.org/abs/2601.08593 |