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Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi–Civita Connections
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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We build metrized quantum vector bundles, over a generically transcendental quantum torus, from Riemannian metrics, using Rosenberg's Levi—Civita connections for these metrics. We also prove that two metrized quantum vector bundles, corresponding to positive scalar multiples of a Riemannian metric, have distance zero between them with respect to the modular Gromov–Hausdorff propinquity.
Keywords: quantum torus; generically transcendental; quantum metric space; metrized quantum vector bundle; Riemannian metric; Levi–Civita connection. 
@article{SIGMA_2018_14_a78,
     author = {Leonard Huang},
     title = {Metrized {Quantum} {Vector} {Bundles} over {Quantum} {Tori} {Built} from {Riemannian} {Metrics} and {Rosenberg's} {Levi{\textendash}Civita} {Connections}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2018},
     volume = {14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a78/}
}
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Leonard Huang. Metrized Quantum Vector Bundles over Quantum Tori Built from Riemannian Metrics and Rosenberg's Levi–Civita Connections. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a78/

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