论文标题
叶状且可逆的鳍歧管取决于其破裂的散射关系
A foliated and reversible Finsler manifold is determined by its broken scattering relation
论文作者
论文摘要
断裂的散射关系由从边界开始的破裂的大地测量学的总长度组成，在歧管内部改变方向，然后传播到边界。我们表明，如果满足凸形叶面条件的两个可逆鳍歧管具有相同的散射关系，则它们是等距的。这意味着地球的某些各向异性材料参数原则上可以是从表面的单个散射测量中重建的。
The broken scattering relation consists of the total lengths of broken geodesics that start from the boundary, change direction once inside the manifold, and propagate to the boundary. We show that if two reversible Finsler manifolds satisfying a convex foliation condition have the same broken scattering relation, then they are isometric. This implies that some anisotropic material parameters of the Earth can be in principle reconstructed from single scattering measurements at the surface.
