Eigenvalues of the Laplacian under the Ricci Flow
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications.
Cite
@article{arxiv.math/0702740,
title = {Eigenvalues of the Laplacian under the Ricci Flow},
author = {Luca Fabrizio Di Cerbo},
journal= {arXiv preprint arXiv:math/0702740},
year = {2007}
}
Comments
13 pages