تقرير
Quantum Riemannian geometry of quantum projective spaces
| العنوان: | Quantum Riemannian geometry of quantum projective spaces |
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| المؤلفون: | Matassa, Marco |
| المصدر: | Journal of Geometry and Physics, 179 (2022): 104611 |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematical Physics |
| الوصف: | 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. Along the way we also prove several results for various objects related to those mentioned here. Comment: 33 pages, v2: minor corrections, accepted for publication |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.geomphys.2022.104611 |
| URL الوصول: | http://arxiv.org/abs/2103.06083 |
| رقم الأكسشن: | edsarx.2103.06083 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.geomphys.2022.104611 |
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