Eigenvalues of the Laplacian under the Ricci flow

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.

Bibliographic Details
Main Author: Luca Fabrizio Di Cerbo
Format: Article
Language:English
Published: Sapienza Università Editrice 2007-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2007(2)/183-195.pdf