47 citations · 277 across the 44 of their papers we have counts for
7 papers · 1 filter
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.
The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains
Tobias H. Colding, William P. Minicozzi
This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]-[CM5] we desc…
The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected
Tobias H. Colding, William P. Minicozzi
This paper is the fourth in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. The key is to underst…
The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks
Tobias H. Colding, William P. Minicozzi
This paper is the first in a series where we attempt to give a complete description of the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed R…
The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks
Tobias H. Colding, William P. Minicozzi
This paper is the second in a series where we attempt to give a complete description of the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed…
Disks that are double spiral staircases
Tobias H. Colding, W. P. Minicozzi, II
What are the possible shapes of various things and why? For instance, when a closed wire or a frame is dipped into a soap solution and is raised up from the solution, the surface s…
Embedded minimal disks
Tobias H. Colding, William P. Minicozzi
This is a survey of our work on embedded minimal disks.