Reconstructing currents from their projections
classification
🧮 math.DG
math.CA
keywords
mathbfprojectionsconjectureconsequencecurrentcurrentsexteriorformula
read the original 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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