"On the Koszul formula in noncommutative geometry" by Jyotishman Bhowmick, Debashish Goswami et al.
 

On the Koszul formula in noncommutative geometry

Article Type

Research Article

Publication Title

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

Publication Date

11-1-2020

Comments

Open Access, Green

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