26 citations · 107 across the 18 of their papers we have counts for
4 papers · 2 filters
Embedded minimal disks: Proper versus nonproper - global versus local
Tobias H. Colding, William P. Minicozzi
We construct a sequence of embedded minimal disks in a ball where the curvatures blow up only at the center. The sequence converges to a limit which is not smooth and not proper.
Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics
Tobias H. Colding, Nancy Hingston
We give in this paper bounds for the Morse indices of a large class of simple geodesics on a surface with a generic metric. To our knowledge these bounds are the first that use onl…
Singular limit laminations, Morse index, and positive scalar curvature
Tobias H. Colding, Camillo De Lellis
For any 3-manifold M and any nonnegative integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse ind…
Embedded minimal disks
Tobias H. Colding, William P. Minicozzi
This is a survey of our work on embedded minimal disks.