This paper is devoted to higher dimensional Anosov flows and consists of two parts. In the first part, we investigate fiberwise Anosov flows on affine torus bundles which fiber over 3-dimensional Anosov flows. We provide a dichotomy result for such flows --- they are either suspensions of Anosov diffeomorphisms or the stable and unstable distributions have equal dimensions. In the second part, we give a new surgery type construction of Anosov flows, which yields non-transitive Anosov flows in all odd dimensions.

中文翻译：

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重访异常的阿诺索夫流

本文致力于高维Anosov流，它由两部分组成。在第一部分中，我们研究了仿射环面纤维上的纤维状Anosov流动，该纤维在3维Anosov上流动。我们为这种流提供了一个二分法结果-它们是Anosov微分形的悬浮或稳定和不稳定的分布具有相等的尺寸。在第二部分中，我们给出了一种新的手术类型的Anosov流结构，该结构可产生所有奇数维的非传递性Anosov流。