First Eigenvalues of Geometric Operators under the Ricci Flow

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146204In 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 referenceDifferential Geometry58C40, 53C44First Eigenvalues of Geometric Operators under the Ricci Flowtext