LEVI–CIVITA CONNECTION ON ALMOST COMMUTATIVE ALGEBRAS

Author:

NGAKEU F.1

Affiliation:

1. Department of Mathematics and Computer Sciences, University of Douala, Cameroon, P. O. Box. 24157 Douala, Cameroon

Abstract

Recently we introduced a new definition of metrics on almost commutative algebras. In this paper, we propose a coherent notion of compatible linear connection with respect to any almost commutative tensor and show that to every metric there corresponds a unique torsion-free compatible connection. This connection is called the Levi–Civita connection of the associated metric.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Statistical rho-commutative algebras;Hacettepe Journal of Mathematics and Statistics;2022-12-31

2. Riemannian Geometry on Hom-ρ-commutative Algebras;Chinese Annals of Mathematics, Series B;2022-03

3. Born geometry on ρ-commutative algebra;International Journal of Geometric Methods in Modern Physics;2020-11-07

4. Riemannian Structures on Z 2 n -Manifolds;Mathematics;2020-09-01

5. Almost commutative $Q$-algebras and derived brackets;Journal of Noncommutative Geometry;2020-07-13

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