Open AccessEigenvalue lower bounds and splitting for modified Ricci flowOpen Access
Author(s)
Colding Tobias Holck,
Minicozzi II William P.
Publication year2024
Publication title
advanced nonlinear studies
Resource typeJournals
PublisherDe Gruyter
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.
Keyword(s)Ricci flow, geometric flows, eigenvalue, drift laplacian
Language(s)English
SCImago Journal Rank1.311
H-Index36
eISSN2169-0375
pISSN1536-1365
DOI10.1515/ans-2022-0083
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