Consider a three-dimensional partially hyperbolic diffeomorphism. It is proved that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) an Anosov diffeomorphism, a (generalized) skew-product or the time-one map of an Anosov flow, thus recovering a well-known classification conjecture of the second author to this restricted setting.

中文翻译：

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刚性条件下部分双曲微分同胚的分类

考虑一个三维部分双曲微分同胚。证明了在切线束动力学的一些刚性假设下，该映射是（模有限覆盖和迭代）Anosov 微分同胚、（广义）斜积或 Anosov 流的时间一映射，从而恢复井-第二作者对此限制设置的已知分类猜想。