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arXiv · 1705.10265

Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry

Rocco Duvenhage·Wernd van Staden·Jan Wuzyk
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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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Rocco Duvenhage, Wernd van Staden, Jan Wuzyk. 2017-05-29. Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry. https://doi.org/10.1016/j.laa.2017.11.004

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