论文标题
一些Anosov动作是仿制的
Some Anosov actions which are affine
论文作者
论文摘要
遵循Y. Benoist，P。Foulon和F. Labourie \ Cite {Bfl}的作品，并牢记有关$ \ Mathbb {r}^k $的代数的猜想，我们提出了一些几何条件，这些几何条件将接触结构和与此类结构相关联的作用构成了与结构相关的构成构成的构造，从而使结构相关联。我们还构建了两个示例家族，第一个家族本质上是代数，第二个是代数的，而不是几何条件而不是几何条件。
Following the works of Y. Benoist, P. Foulon and F. Labourie \cite{BFL}, and having in mind the standing conjecture about the algebricity of Anosov actions of $\mathbb{R}^k$, we propose some geometrical conditions which generalize the notion of contact structures and prove that Anosov actions associated with such structures are conjugated to an Affine action. We also construct two families of examples, the first one is algebraic in nature, and the second one imposes some dynamical conditions instead of geometrical ones.
