Extending an Example by Colding and Minicozzi View Full Text


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Article Info

DATE

2019-03-21

AUTHORS

Lorenzo Ruffoni, Francesca Tripaldi

ABSTRACT

Extending an example by Colding and Minicozzi (Trans Am Math Soc 356(1):283–289, 2003), we construct a sequence of properly embedded minimal disks Σi in an infinite Euclidean cylinder around the x3-axis with curvature blow-up at a single point. The sequence converges to a non-smooth and non-proper minimal lamination in the cylinder. Moreover, we show that the disks Σi are not properly embedded in a sequence of open subsets of R3 that exhausts R3. More... »

PAGES

1-14

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s12220-019-00177-4

DOI

http://dx.doi.org/10.1007/s12220-019-00177-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112944719


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