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19992005
most citedThe space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks

26 citations · 97 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.AP2003

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…

math.AP20033 cited

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…

math.AP20024 cited

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…

math.AP20024 cited

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…

math.AP200226 cited

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…

math.AP200226 cited

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…