First Eigenvalues of Geometric Operators under the Ricci Flow

Details First Eigenvalues of Geometric Operators under the Ricci Flow First Eigenvalues of Geometric Operators under the Ricci Flow

2007-10-21

arxiv.org/abs/0710.3947v2

Mathematics

Differential Geometry

5 pages, add one more reference

Scientific paper

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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