Quantum Riemannian geometry of quantum projective spaces
Peer reviewed, Journal article
Published version
Date
2022-07-11Metadata
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Original version
https://doi.org/10.1016/j.geomphys.2022.104611Abstract
We study the quantum Riemannian geometry of quantum projective spaces of any dimension. In particular, we compute the Riemann and Ricci tensors using previously introduced quantum metrics and quantum Levi-Civita connections. We show that the Riemann tensor is a bimodule map and derive various consequences of this fact. We prove that the Ricci tensor is proportional to the quantum metric, giving a quantum analogue of the Einstein condition, and compute the corresponding scalar curvature.
Publisher
ElsevierSeries
Journal of Geometry and Physics;Volume 179, September 2022, 104611Journal
Journal of Geometry and PhysicsCopyright
© 2022 The Author(s)Related items
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