Tomography of 1-forms on a gas giant
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912896413335552 |
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| author | Ilmavirta, Joonas Kykkänen, Antti Satukangas, Eetu |
| author_facet | Ilmavirta, Joonas Kykkänen, Antti Satukangas, Eetu |
| contents | We show that on gas giant manifolds the geodesic X-ray transform is solenoidally injective on one-forms that are smooth up to the boundary in an appropriate smooth structure. A gas giant manifold is a conformally blown up Riemannian manifold whose boundary singularity is milder than asymptotically hyperbolic. The proof is based on a Pestov identity and asymptotic analysis of short geodesics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10322 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Tomography of 1-forms on a gas giant Ilmavirta, Joonas Kykkänen, Antti Satukangas, Eetu Differential Geometry We show that on gas giant manifolds the geodesic X-ray transform is solenoidally injective on one-forms that are smooth up to the boundary in an appropriate smooth structure. A gas giant manifold is a conformally blown up Riemannian manifold whose boundary singularity is milder than asymptotically hyperbolic. The proof is based on a Pestov identity and asymptotic analysis of short geodesics. |
| title | Tomography of 1-forms on a gas giant |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2602.10322 |