论文标题
凸射线歧管上的测量流的拓扑混合
Topological mixing of the geodesic flow on convex projective manifolds
论文作者
论文摘要
我们介绍了凸射击歧管的单位切线束的自然子集，即双单位切线束；它在大地测量流下是封闭的和不变的，我们证明，每当歧管不可还原时，地球流在拓扑上都会在其上混合。我们还表明，对于更高级别，不可还原，紧凑的凸射击歧管，地球流在非随机套件的每个连接组件上都是拓扑混合的。
We introduce a natural subset of the unit tangent bundle of a convex projective manifold, the biproximal unit tangent bundle; it is closed and invariant under the geodesic flow, and we prove that the geodesic flow is topologically mixing on it whenever the manifold is irreducible. We also show that, for higher-rank, irreducible, compact convex projective manifolds, the geodesic flow is topologically mixing on each connected component of the non-wandering set.
