Eigenvalue lower bounds and splitting for modified Ricci flow

Tobias Holck Colding, William P. II. Minicozzi

Publication date: 3 May 2023

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.

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