The limit lamination metric for the Colding-Minicozzi minimal lamination
William H. Meeks · Illinois Journal of Mathematics · 2005
We prove that the singular set $S(\mathcal{L})$ of convergence in a Colding-Minicozzi limit minimal lamination $\lc$ is a $C^{1,1}$-curve which is orthogonal to leaves of the limit minimal lamination $\mathcal{L}$ in some neighborhood of $\mathcal{S}(\mathcal{L})$. We also obtain useful information on the related limit lamination metric.