## Duke Mathematical Journal

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

William H. III Meeks

#### Abstract

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 $S(\mathscr{L})$.

#### Article information

Source
Duke Math. J. Volume 123, Number 2 (2004), 329-334.

Dates
First available in Project Euclid: 11 June 2004

http://projecteuclid.org/euclid.dmj/1086957675

Digital Object Identifier
doi:10.1215/S0012-7094-04-12324-3

Mathematical Reviews number (MathSciNet)
MR2066941

Zentralblatt MATH identifier
02127998

Subjects
Primary: 53A10 49Q05 53C420

#### Citation

Meeks, William H. III. Regularity of the singular set in the Colding-Minicozzi lamination theorem. Duke Math. J. 123 (2004), no. 2, 329--334. doi:10.1215/S0012-7094-04-12324-3. http://projecteuclid.org/euclid.dmj/1086957675.