Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 346. Sharp singular-set bounds for stationary integral varifolds
Family claims › Differential geometry · lines 2248–2253
OpenAI@2026-10-07#rem:oai-346
Proves that every stationary integral -varifold in a Euclidean open set has singular set of Hausdorff dimension at most , a sharp bound in every positive dimension and codimension. On round spheres, the family also proves almost-everywhere regularity: the singular set has zero -dimensional Hausdorff measure.
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