Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 349-01. The Solomon–Yau least-volume theorem
Manuscript map · lines 9125–9134
OpenAI@2026-10-07#rem:oai-p-349-01
Authors: OpenAI. Family 349.
Title: The Solomon–Yau least-volume theorem.
Abstract: We prove the Solomon–Yau least-volume conjecture for minimal hypersurfaces of unit round spheres: in every dimension m ≥ 2, a closed connected minimal immersion with non-totally-geodesic image has volume at least the smallest m-dimensional minimal Clifford product. Volume is measured on the domain, so covering multiplicities are included.
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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