Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry
Operator Algebras
2018-03-28 v1 Classical Analysis and ODEs
Quantum Algebra
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.
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Cite
@article{arxiv.1705.10265,
title = {Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry},
author = {Rocco Duvenhage and Wernd van Staden and Jan Wuzyk},
journal= {arXiv preprint arXiv:1705.10265},
year = {2018}
}
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16 pages