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arXiv · 2503.07573

Reconstructing currents from their projections

Aidan Backus
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Abstract

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.

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Aidan Backus. 2025-03-10. Reconstructing currents from their projections. https://arxiv.org/abs/2503.07573

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