The Calderón problem for the fractional Dirac operator
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909435231731712 |
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| author | Quan, Hadrian Uhlmann, Gunther |
| author_facet | Quan, Hadrian Uhlmann, Gunther |
| contents | We show that knowledge of the source-to-solution map for the fractional Dirac operator acting over sections of a Hermitian vector bundle over a smooth closed connencted Riemannian manifold of dimension $m\geq 2$ determines uniquely the smooth structure, Riemannian metric, Hermitian bundle and connection, and its Clifford modulo up to a isometry. We also mention several potential applications in physics and other fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_00965 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Calderón problem for the fractional Dirac operator Quan, Hadrian Uhlmann, Gunther Analysis of PDEs Differential Geometry 35S05 (Primary), 58J35, 58J53 (Secondary) We show that knowledge of the source-to-solution map for the fractional Dirac operator acting over sections of a Hermitian vector bundle over a smooth closed connencted Riemannian manifold of dimension $m\geq 2$ determines uniquely the smooth structure, Riemannian metric, Hermitian bundle and connection, and its Clifford modulo up to a isometry. We also mention several potential applications in physics and other fields. |
| title | The Calderón problem for the fractional Dirac operator |
| topic | Analysis of PDEs Differential Geometry 35S05 (Primary), 58J35, 58J53 (Secondary) |
| url | https://arxiv.org/abs/2204.00965 |