Abstract
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.
Citation
William H. Meeks III. "The limit lamination metric for the Colding-Minicozzi minimal lamination." Illinois J. Math. 49 (2) 645 - 658, Summer 2005. https://doi.org/10.1215/ijm/1258138037
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