Mathematics > Metric Geometry
arXiv:2606.25138 (math)
[Submitted on 23 Jun 2026]
Abstract:We show that a simple irreversible Finsler geometry can be recovered uniquely and Lipschitz-stably from its travel time data. We introduce and use a version of Gromov--Hausdorff distance adapted to irreversible metric spaces. In contrast to reversible (e.g. Riemannian) geometry, even the question of stability becomes ill-defined without simplicity.
Submission history
From: Antti Kykkänen [view email]
[v1]
Tue, 23 Jun 2026 20:08:25 UTC (32 KB)
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