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

Abstract

Let 𝑀 be a closed 3-dimensional Riemann manifold and let 3≤ 𝑟≤ ∞. 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.