40 citations · 163 across the 22 of their papers we have counts for
4 papers · 1 filter
Width and finite extinction time of Ricci flow
Tobias H. Colding, William P. Minicozzi
This is an expository article with complete proofs intended for a general non-specialist audience. The results are two-fold. First, we discuss a geometric invariant, that we call t…
Width and mean curvature flow
Tobias H. Colding, William P. Minicozzi
Given a Riemannian metric on a homotopy -sphere, sweep it out by a continuous one-parameter family of closed curves starting and ending at point curves. Pull the sweepout tight…
Min-max for sweepouts by curves
Tobias H. Colding, William P. Minicozzi
Given a Riemannian metric on the 2-sphere, sweep the 2-sphere out by a continuous one-parameter family of closed curves starting and ending at point curves. Pull the sweepout tight…
Three circles theorems for Schrodinger operators on cylindrical ends and geometric applications
Tobias H. Colding, Camillo De Lellis, William P. Minicozzi
We show that for a Schrödinger operator with bounded potential on a manifold with cylindrical ends the space of solutions which grows at most exponentially at infinity is finite di…