Exponential mixing for generic volume-preserving Anosov flows in dimension three

  title={Exponential mixing for generic volume-preserving Anosov flows in dimension three},
  author={Masato Tsujii},
  journal={arXiv: Dynamical Systems},
  • M. Tsujii
  • Published 1 January 2016
  • Mathematics
  • arXiv: Dynamical Systems
Let $M$ be a closed $3$-dimensional Riemann manifold and let $3\le r\le \infty$. We prove that there exists an open dense subset in the space of $C^r$ volume-preserving Anosov flows on $M$ such that all the flows in it are exponentially mixing. 

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