Quantum Riemannian geometry of quantum projective spaces

Matassa, Marco

dc.contributor.author	Matassa, Marco
dc.date.accessioned	2022-12-23T07:53:00Z
dc.date.available	2022-12-23T07:53:00Z
dc.date.created	2022-08-31T14:39:19Z
dc.date.issued	2022-07-11
dc.identifier.issn	0393-0440
dc.identifier.issn	1879-1662
dc.identifier.uri	https://hdl.handle.net/11250/3039303
dc.description.abstract	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.	en_US
dc.language.iso	eng	en_US
dc.publisher	Elsevier	en_US
dc.relation.ispartofseries	Journal of Geometry and Physics;Volume 179, September 2022, 104611
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.subject	Non-commutative geometry	en_US
dc.subject	Quantum homogeneous spaces	en_US
dc.subject	Quantum projective spaces	en_US
dc.subject	Quantum Riemannian geometry	en_US
dc.title	Quantum Riemannian geometry of quantum projective spaces	en_US
dc.type	Peer reviewed	en_US
dc.type	Journal article	en_US
dc.description.version	publishedVersion	en_US
dc.rights.holder	© 2022 The Author(s)	en_US
dc.source.articlenumber	104611	en_US
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.doi	https://doi.org/10.1016/j.geomphys.2022.104611
dc.identifier.cristin	2047631
dc.source.journal	Journal of Geometry and Physics	en_US
dc.source.volume	179	en_US
dc.source.issue	179	en_US
dc.source.pagenumber	1-31	en_US