The Non-Abelian X-Ray Transform on Asymptotically Hyperbolic Spaces
Abstract
Abstract In this paper we formulate and prove a gauge equivalence for unitary connections and skew-Hermitian Higgs fields of suitable regularity that are mapped to the same function under the non-abelian X-ray transform on nontrapping asymptotically hyperbolic spaces with negative curvature and no nontrivial twisted conformal Killing tensor fields with certain regularity. If one furthermore fixes such a connection with zero curvature, a corollary provides an injectivity result for the non-abelian X-ray transform over skew-Hermitian Higgs fields.
Fields of Study & Subjects
Numerical methods in inverse problems
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Publication details
- Journal / source
- Journal of Geometric Analysis
- Volume
- 36
- Issue
- 2
- Publication date
- 12 January 2026
- Language
- EN