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arXiv · 2309.11141

Uniqueness of Obstacles in Riemannian Manifolds from Travelling Times

Tal Gurfinkel·Lyle Noakes·Luchezar Stoyanov
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Abstract

Suppose that $K$ and $L$ are two disjoint unions of strictly convex obstacles with the same set of travelling times, contained in an $n$-dimensional Riemannian manifold $M$ (where $n\geq2$). Under some natural curvature conditions on $M$, and provided that no geodesic intersects more than two components in $K$ or $L$, we show that $K = L$.

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Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov. 2023-09-20. Uniqueness of Obstacles in Riemannian Manifolds from Travelling Times. https://arxiv.org/abs/2309.11141

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