Eigenvalue lower bounds and splitting for modified Ricci flow
Name
10.1515_ans-2022-0083.pdf
Description
Published version
Size
451.76 KB
Format
Adobe PDF
Checksum (MD5)
228bf7db175eb5ba67b8d98bc5543039
Author(s)
Colding, Tobias Holck
Minicozzi II, William P
Date Issued
March 8, 2024
Journal
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1515/ans-2022-0083
