TL;DR
This paper introduces linear connections on noncommutative geometries that have classical limits, and calculates quasicommutative corrections, advancing the understanding of geometric structures in noncommutative spaces.
Contribution
It presents the first construction of linear connections on certain noncommutative geometries with commutative limits and computes associated quasicommutative corrections.
Findings
Linear connections are successfully defined on noncommutative geometries.
Quasicommutative corrections are explicitly calculated.
The work bridges noncommutative and classical geometric frameworks.
Abstract
Linear connections are introduced on a series of noncommutative geometries which have commutative limits. Quasicommutative corrections are calculated.
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