The Solomon–Yau least-volume conjecture
What the paper claims, in its own words
Proves the Solomon–Yau least-volume conjecture for minimal hypersurfaces of round spheres. For every m ≥ 2, a closed connected minimal immersion into the unit sphere with non-totally-geodesic image has volume at least that of the smallest minimal Clifford product, counting covering multiplicity.
The plain-language explainer for this entry is still coming.
The original paper
- The Solomon–Yau least-volume theorem (PDF, opens in a new tab) September 23, 2026