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On the Koszul formula in noncommutative geometry

Bhowmick, Jyotishman
•
Goswami, Debashish
•
Landi, Giovanni
2020
  • journal article

Periodico
REVIEWS IN MATHEMATICAL PHYSICS
Abstract
We prove a Koszul formula for the Levi-Civita connection for any pseudo-Riemannian bilinear metric on a class of centered bimodule of noncommutative one-forms. As an application to the Koszul formula, we show that our Levi-Civita connection is a bimodule connection. We construct a spectral triple on a fuzzy sphere and compute the scalar curvature for the Levi-Civita connection associated to a canonical metric.
DOI
10.1142/S0129055X20500324
WOS
WOS:000599927700005
SCOPUS
2-s2.0-85086176562
Archivio
http://hdl.handle.net/11368/2965196
https://www.worldscientific.com/doi/pdf/10.1142/S0129055X20500324
Diritti
restricted access
FVG url
https://arts.units.it/request-item?handle=11368/2965196
Soggetti
  • Noncommutative geomet...

  • Levi-Civita connectio...

  • Koszul formula

  • Bimodule connection.

Web of Science© citazioni
3
Data di acquisizione
Jun 6, 2022
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