تقرير
The Non-Abelian X-Ray Transform on Asymptotically Hyperbolic Spaces
| العنوان: | The Non-Abelian X-Ray Transform on Asymptotically Hyperbolic Spaces |
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| المؤلفون: | Grebnev, Haim |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 34A55 (Primary) 53A35 |
| الوصف: | 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. Comment: 56 pages. In version 3 we 1) proved that matrix in gauge is unitary, 2) clarified that vertical Fourier analysis is being done for connection in endomorphism bundle, 3) increased readability |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.09408 |
| رقم الأكسشن: | edsarx.2312.09408 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |