A foliated and reversible Finsler manifold is determined by its broken scattering relation
نویسندگان
چکیده
The broken scattering relation consists of the total lengths geodesics that start from boundary, change direction once inside manifold, and propagate to boundary. We show if two reversible Finsler manifolds satisfying a convex foliation condition have same relation, then they are isometric. This implies some anisotropic material parameters Earth can be in principle reconstructed single measurements at surface.
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ژورنال
عنوان ژورنال: Pure and applied analysis
سال: 2021
ISSN: ['2578-5893', '2578-5885']
DOI: https://doi.org/10.2140/paa.2021.3.789