26 citations · 99 across the 14 of their papers we have counts for
7 papers · 1 filter
Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman
Tobias H. Colding, William P. Minicozzi
In this note we prove some bounds for the extinction time for the Ricci flow on certain 3-manifolds. Our interest in this comes from a question of Grisha Perelman asked to the firs…
Sharp estimates for mean curvature flow of graphs
Tobias H. Colding, W. P. Minicozzi
Sharp estimates for mean curvature flow of graphs are shown and examples are given to illustrate why these are sharp. The estimates improves earlier (non-sharp) estimates of Klaus…
The min--max construction of minimal surfaces
Tobias H. Colding, Camillo De Lellis
In this paper we survey with complete proofs some well--known, but hard to find, results about constructing closed embedded minimal surfaces in a closed 3-dimensional manifold via…
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…