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.

中文翻译：

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某些纤维部分双曲系统的平滑模型

我们证明，在纤维的限制下，尼尔流形上的任何纤维部分双曲系统都是与平滑模型的叶共轭，该光滑模型在纤维上是等距的，并且在基底上下降到双曲尼尔流形自同构。其中一个成分是独立兴趣的结果，它概括了平出的结果：尼尔流形的阿诺索夫同胚在拓扑上与双曲尼尔流形自同构共轭。