Exponential mixing for generic volume-preserving Anosov flows in dimension three
classification
🧮 math.DS
keywords
flowsanosovmixingvolume-preservingcloseddensedimensiondimensional
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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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