Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 349. The Solomon–Yau least-volume conjecture
Family claims › Differential geometry · lines 2266–2271
OpenAI@2026-10-07#rem:oai-349
Proves the Solomon–Yau least-volume conjecture for minimal hypersurfaces of round spheres. For every , 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 authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- remark: Remark: Family 333. Smooth isometric immersions of surfaces into R 4
- remark: Remark: Family 334. A smooth surface metric with no local immersion in R 3
- remark: Remark: Family 335. Gromov's integral scalar-curvature inequality
- remark: Remark: Family 336. Spectral scalar curvature and codimension-two width
- remark: Remark: Family 337. Cartan–Hadamard isoperimetry and CAT (0) fillings
- remark: Remark: Family 338. Yau's uniformization conjecture
- remark: Remark: Family 339. Katok's entropy rigidity conjecture
- remark: Remark: Family 340. A counterexample to the nearby Lagrangian conjecture