Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry
arXiv:1705.10265 · doi:10.1016/j.laa.2017.11.004
Abstract
We study a first variation formula for the eigenvalues of the Laplacian evolving under the Ricci flow in a simple example of a noncommutative matrix geometry, namely a finite dimensional representation of a noncommutative torus. In order to do so, we first show that the Ricci flow in this matrix geometry is analytic.
16 pages