Eigenvalue lower bounds and splitting for modified Ricci flow
Tobias Holck Colding, William P. Minicozzi II
Mathematics, Differential Geometry, Differential Geometry (math.DG), Analysis of PDEs (math.AP)
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 volume that plays an important role in Ricci flow. We will also show that there is a splitting theorem in the case of equality.