47 citations · 277 across the 44 of their papers we have counts for
4 papers · 1 filter
What are the shapes of embedded minimal surfaces and why?
Tobias H. Colding, William P. Minicozzi
Minimal surfaces with uniform curvature (or area) bounds have been well understood and the regularity theory is complete, yet essentially nothing was known without such bounds. We…
Minimal submanifolds: Encyclopedia of Mathematical Physics
Tobias H. Colding, William P. Minicozzi
We give a quick tour through many of the classical results in the field of minimal submanifolds, starting at the definition. The field of minimal submanifolds remains extremely act…
The space of embedded minimal surfaces of fixed genus in a 3-manifold V; Fixed genus
Tobias H. Colding, William P. Minicozzi
This paper is the fifth and final in a series on embedded minimal surfaces. Following our earlier papers on disks, we prove here two main structure theorems for non-simply connecte…
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.