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 areexponentially mixing.
展开▼
机译:假设$ M $是一个封闭的3维维黎曼流形,并让$ 3 \ le r \ le \ infty $。我们证明了在$ C ^ r $保留体积的Anosov流在$ M $的空间中存在一个开放的密集子集,因此其中的所有流都呈指数混合。
展开▼