We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a three-dimensional manifold, there is a non-partially hyperbolic stably ergodic diffeomorphism. In particular, we provide new examples of stably ergodic diffeomorphisms in three-dimensional manifolds with respect to a smooth volume measure.

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第 3 维稳定遍历微分同胚的新例子

我们证明，在三维流形中任何体积保持部分双曲微分同胚的同位素类中，存在非部分双曲稳定遍历微分同胚。特别是，我们提供了关于平滑体积测度的三维流形中稳定遍历微分同胚的新例子。