极限曲率的极端表面在临界点。科尔努螺旋作为无限曲率的极端几何表面：关于奇点邻域内有界域中表面测度渐近发散的分析悖论。

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1Conformal curves via extremals of the normal-mean curvature deviation functional2026
2. 2Supercritical Variational Curvature Barriers for Ricci-Type Flows on Compact S³2026
3. 3More Extreme Limits of Manifolds with Positive Scalar Curvature2024
4. 4Curvature measures and the sub-Riemannian Gauss-Bonnet theorem2025
5. 5On constant mean curvature 1-immersions of surfaces into hyperbolic 3-manifolds2024