Eigenvalue lower bounds and splitting for modified Ricci flow
Differential Geometry
2023-05-05 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2305.02416,
title = {Eigenvalue lower bounds and splitting for modified Ricci flow},
author = {Tobias Holck Colding and William P. Minicozzi},
journal= {arXiv preprint arXiv:2305.02416},
year = {2023}
}