Regularity of the singular set in the Colding-Minicozzi lamination theorem

William H. Meeks · Duke Mathematical Journal · 2004

We prove that the singular set $S(\mathscr{L})$ of convergence in the Colding-Minicozzi limit lamination theorem is a $C^{1,1}$-curve that is orthogonal to the limit minimal foliation $\mathscr{L}$ in some neighborhood of $S(\mathscr{L})$.

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