Levi-Civita connections from toral actions
arXiv:2104.07570 · doi:10.1016/j.geomphys.2022.104650
Abstract
We construct tame differential calculi coming from toral actions on a class of -algebras. Relying on the existence of a unique Levi-Civita connection on such a calculus, we prove a version of the Bianchi identity. A Gauss-Bonnet theorem for the canonical tame calculus of rank two is studied.
arXiv commentRevised version following the referee's suggestions. To appear in Journal of Geometry and Physics
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