Quantum Riemannian geometry of quantum projective spaces
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3039303Utgivelsesdato
2022-07-11Metadata
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Originalversjon
https://doi.org/10.1016/j.geomphys.2022.104611Sammendrag
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.
Utgiver
ElsevierSerie
Journal of Geometry and Physics;Volume 179, September 2022, 104611Tidsskrift
Journal of Geometry and PhysicsOpphavsrett
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