论文标题
某些部分纤维部分双曲系统的平滑型号
Smooth Models for Certain Fibered Partially Hyperbolic Systems
论文作者
论文摘要
我们证明，在纤维上的限制下，尼尔曼叶夫的任何部分双曲线系统都是叶结合到光滑模型上，该模型是纤维上等距的，并降低了底座上的双曲线尼尔曼叶型自动形态。一种成分是概括了Hiraide结果的独立兴趣的结果：Nilmanifold的Anosov同构同构在拓扑结合到双曲线Nilmanifold自动形态。
We prove that under restrictions on the fiber, any fibered partially hyperbolic system over a nilmanifold is leaf conjugate to a smooth model that is isometric on the fibers and descends to a hyperbolic nilmanifold automorphism on the base. One ingredient is a result of independent interest generalizing a result of Hiraide: an Anosov homeomorphism of a nilmanifold is topologically conjugate to a hyperbolic nilmanifold automorphism.
