dorsal/arxiv
View SchemaDeformation and perturbative rigidity near de la Llave examples
| Authors | Andrey Gogolev, Martin Leguil |
|---|---|
| Categories | |
| ArXiv ID | 2601.08593vv1 |
| URL | https://arxiv.org/abs/2601.08593 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
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"abstract": "De la Llave\u0027s 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\u0027\u0027: we prove deformation and local rigidity for generic diffeomorphisms in proximity of de la Llave\u0027s examples.",
"arxiv_id": "2601.08593",
"authors": [
"Andrey Gogolev",
"Martin Leguil"
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Deformation and perturbative rigidity near de la Llave examples",
"url": "https://arxiv.org/abs/2601.08593",
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