Remark: Family 356. Gigli's characterization of Alexandrov curvature

Proves Gigli's conjecture: in every integer dimension $n\ge 2$, Alexandrov curvature at least $\kappa$ is characterized by the full-support $\mathrm{RCD}((n-1)\kappa ,n)$ condition with reference measure ${\mathcal{H}}^n$ and distributional sectional curvature at least $\kappa$ in the original global test classes. The RCD condition is unreduced.

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.