Reconstructing currents from their projections
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909532805922816 |
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| author | Backus, Aidan |
| author_facet | Backus, Aidan |
| contents | We prove an inversion formula for the exterior $k$-plane transform. As a consequence, we show that if $m < k$ then an $m$-current in $\mathbf R^n$ can be reconstructed from its projections onto $\mathbf R^k$, which proves a conjecture of Solomon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07573 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstructing currents from their projections Backus, Aidan Differential Geometry Classical Analysis and ODEs 44A12 We prove an inversion formula for the exterior $k$-plane transform. As a consequence, we show that if $m < k$ then an $m$-current in $\mathbf R^n$ can be reconstructed from its projections onto $\mathbf R^k$, which proves a conjecture of Solomon. |
| title | Reconstructing currents from their projections |
| topic | Differential Geometry Classical Analysis and ODEs 44A12 |
| url | https://arxiv.org/abs/2503.07573 |