Quantum Riemannian geometry of quantum projective spaces
Peer reviewed, Journal article
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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.
SeriesJournal of Geometry and Physics;Volume 179, September 2022, 104611
JournalJournal of Geometry and Physics
Copyright© 2022 The Author(s)
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