论文标题
分析指标的散射刚度
Scattering rigidity for analytic metrics
论文作者
论文摘要
对于具有分析性的严格凸边界的分析性负弯曲的Riemannian歧管，我们表明地球流的散射图确定了等级的歧管。特别是一个人恢复拓扑和度量。更一般而言，我们的结果属于NO共轭点和双曲线捕获集假设下的分析类别。
For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isometry. In particular one recovers both the topology and the metric. More generally, our result holds in the analytic category under the no conjugate point and hyperbolic trapped sets assumptions.
