Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 088-01. Petty’s projection-volume conjecture in dimensions at least four
Manuscript map · lines 4175–4184
OpenAI@2026-10-07#rem:oai-p-088-01
Authors: OpenAI. Family 088.
Title: Petty’s projection-volume conjecture in dimensions at least four.
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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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