Eigenvalue lower bounds and splitting for modified Ricci flow

Author:

Tobias Holck Colding, William P. Minicozzi II

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Analysis of PDEs (math.AP)

journal:

date:

2023-05-02 16:00:00

Abstract

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.

PDF: Eigenvalue lower bounds and splitting for modified Ricci flow.pdf