Deformation and perturbative rigidity near de la Llave examples
Abstract
De la Llave's examples are Anosov diffeomorphisms on the four-torus T4 with constant Lyapunov spectrum, yet they are not C1-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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