First Eigenvalues of Geometric Operators under the Ricci Flow
Abstract
Description
In this paper, we prove that the first eigenvalues of $-Δ+ cR$ ($c\geq \frac14$) is nondecreasing under the Ricci flow. We also prove the monotonicity under the normalized flow for the case $c=1/4$, and $r\le 0$.
5 pages, add one more reference
5 pages, add one more reference