Mathematics > Differential Geometry
[Submitted on 21 Oct 2007 (v1), last revised 21 Jan 2008 (this version, v2)]
Title:First Eigenvalues of Geometric Operators under the Ricci Flow
View PDFAbstract: 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 $r\le 0$.
Submission history
From: Xiaodong Cao [view email][v1] Sun, 21 Oct 2007 19:23:14 UTC (6 KB)
[v2] Mon, 21 Jan 2008 03:23:14 UTC (5 KB)
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