Preprint in the OpenAI Math release
Petty’s projection-volume conjecture in dimensions at least four
OpenAI
Abstract
We prove that ellipsoids uniquely minimize the volume of the projection body among convex bodies of fixed volume in every dimension at least four. This proves Petty's projection-volume conjecture in these dimensions.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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