First Eigenvalues of Geometric Operators under the Ricci Flow
classification
🧮 math.DG
keywords
flowundereigenvaluesfirstprovericcicasedelta
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In this paper, we prove that the first eigenvalues of $-\Delta + cR$ ($c\geq \frac14$) is nondecreasing under the Ricci flow. We also prove the monotonicity under the normalized flow for the case $c=1/4$, and $r\le 0$.
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