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math.DG2005
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…
math.DG2005
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…
math.DG2005
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.