一类具有类康托尔集奇点的极小层
A Minimal Lamination with Cantor Set-Like Singularities
摘要：
给定$\mathbb{R}^3$中线段的一个紧致闭子集$M$，构造一个嵌入该线段的邻域$C$中的极小曲面序列$Σ_k$，该极小曲面序列光滑地收敛到远离$M$的$C$的一个极限层.此外，该序列的曲率恰好在$M$上爆破，极限层合恰好在$M$的边界上具有不可可去奇点.
英文摘要：
Given a compact closed subset $M$ of a line segment in $\mathbb{R}^3$, we construct a sequence of minimal surfaces $Σ_k$ embedded in a neighborhood $C$ of the line segment that converge smoothly to a limit lamination of $C$ away from $M$. Moreover, the curvature of this sequence blows up precisely on $M$, and the limit lamination has non-removable singularities precisely on the boundary of $M$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
