81 citations · 85 across the 3 of their papers we have counts for
3 papers
math.DG2023
Eigenvalue lower bounds and splitting for modified Ricci flow
Tobias Holck Colding, William P. Minicozzi
We prove sharp lower bounds for eigenvalues of the drift Laplacian for a modified Ricci flow. The modified Ricci flow is a system of coupled equations for a metric and weighted vol…
math.DG2012★ 4 cited
On uniqueness of tangent cones for Einstein manifolds
Tobias Holck Colding, William P. Minicozzi
We show that for any Ricci-flat manifold with Euclidean volume growth the tangent cone at infinity is unique if one tangent cone has a smooth cross-section. Similarly, for any nonc…
math.AP2010★ 81 cited
Lower bounds for nodal sets of eigenfunctions
Tobias H. Colding, William P. Minicozzi
We prove lower bounds for the Hausdorff measure of nodal sets of eigenfunctions.