Eigenvalue lower bounds and splitting for modified Ricci flow
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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.
Date issued
2024-03-08Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Advanced Nonlinear Studies
Publisher
Walter de Gruyter GmbH
Citation
Colding, Tobias Holck and Minicozzi II, William P.. "Eigenvalue lower bounds and splitting for modified Ricci flow" Advanced Nonlinear Studies, vol. 24, no. 1, 2024, pp. 178-188.
Version: Final published version