Eigenvalues of the Laplacian under the Ricci Flow
arXiv:math/0702740
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.
13 pages
Cited by in corpus (5)
- The Ricci flow on noncommutative two-tori
- Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry
- Monotonicity of eigenvalues of geometric operaters along the Ricci-Bourguignon flow
- A remark on Ricci Breathers and Solitons
- Renormalization group flow, Entropy and Eigenvalues