26 citations · 97 across the 9 of their papers we have counts for
4 papers · 1 filter
Minimal submanifolds
Tobias H. Colding, William P. Minicozzi
In what follows we give a quick tour through the field of minimal submanifolds, starting at the definition and the classical results and ending up with current areas of research.
The Calabi-Yau conjectures for embedded surfaces
Tobias H. Colding, William P. Minicozzi
In this paper we will prove the Calabi-Yau conjectures for embedded surfaces. In fact, we will prove considerably more. The Calabi-Yau conjectures about surfaces date back to the 1…
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.
Embedded minimal disks
Tobias H. Colding, William P. Minicozzi
This is a survey of our work on embedded minimal disks.