Eigenvalue lower bounds and splitting for modified Ricci flow

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 equal...

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Bibliographic Details
Published in:Advanced Nonlinear Studies
Main Authors: Colding Tobias Holck, Minicozzi II William P.
Format: Article
Language:English
Published: De Gruyter 2024-03-01
Subjects:
Online Access:https://doi.org/10.1515/ans-2022-0083