40 citations · 163 across the 22 of their papers we have counts for
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math.DG2012★ 2 cited
Ricci curvature and monotonicity for harmonic functions
Tobias Holck Colding, William P. Minicozzi
In this paper we generalize the monotonicity formulas of [C] for manifolds with nonnegative Ricci curvature. Monotone quantities play a key role in analysis and geometry; see, e.g.…
math.DG2012★ 3 cited
Mean curvature flow as a tool to study topology of 4-manifolds
Tobias Holck Colding, William P. Minicozzi, Erik Kjaer Pedersen
In this paper we will discuss how one may be able to use mean curvature flow to tackle some of the central problems in topology in 4-dimensions. We will be concerned with smooth cl…