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Eigenvalue lower bounds and splitting for modified Ricci flow

Published 3 May 2023 in math.DG and math.AP | (2305.02416v1)

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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