论文标题
莱普诺夫（Lyapunov）各地的指数和僵化
Lyapunov exponents everywhere and rigidity
论文作者
论文摘要
在目前的工作中，我们从Oseledec定理的意义上获得了分析常规点的刚度结果。介绍了一项有关Anosov差异性具有所有Lyapunov指数到处定义的可能性的研究。我们证明，这种情况意味着圆环$ \ mathbb {t}^d，d \ geq 3，$ $ $ c^1- $接近线性自动化的元素的局部刚性，$ \ \ \ \ mathbb {r} $，其特征性的多元元素是$ irred $ $ {
In the present work we obtain rigidity results analysing the set of regular points, in the sense of Oseledec's Theorem. It is presented a study on the possibility of an Anosov diffeomorphisms having all Lyapunov exponents defined everywhere. We prove that this condition implies local rigidity of an Anosov automorphism of the torus $\mathbb{T}^d, d \geq 3,$ $C^1-$close to a linear automorphism diagonalizable over $\mathbb{R}$ and such that its characteristic polynomial is irreducible over $\mathbb{Q}.$
