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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Noncommutative Ricci flow in a matrix geometry

arXiv

Authors: Rocco Duvenhage

Year

2013

Paper ID

32301

Status

Preprint

Abstract Read

~2 min

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Abstract

We study noncommutative Ricci flow in a finite dimensional representation of a noncommutative torus. It is shown that the flow exists and converges to the flat metric. We also consider the evolution of entropy and a definition of scalar curvature in terms of the Ricci flow.

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We study noncommutative Ricci flow in a finite dimensional representation of a noncommutative torus.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.2900 [2] arXiv https://arxiv.org/abs/1310.2900 [3] Publisher https://arxiv.org/abs/1310.2900

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