Submitted:
26 December 2025
Posted:
26 December 2025
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Abstract
We study the local recovery of magnetic invariants in smooth n-dimensional manifolds equipped with general non-reversible Finsler metrics. We prove that the exterior derivative dβ is the unique second-order antisymmetric local invariant of the length functional, independently of higher-order Finsler perturbations. This generalizes previous 2-dimensional results to higher dimensions and establishes a rigorous, practically stable procedure for isolating magnetic invariants locally.
Keywords:
inverse problems
; Finsler metrics
; Randers metrics
; magnetic invariants
; local reconstruction
; antisymmetric jets
; stability estimates
; geodesic normal coordinates
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