Preprint in the OpenAI Math release
The Solomon–Yau least-volume theorem
OpenAI
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.
open until 1 Jan 2028
est. 50% chance this result is independently verified by the end of 2027.
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