Levi-Civita connections for a class of spectral triples. (English) Zbl 1437.58007
The authors give a definition of Levi-Civita connection for spectral triples which satisfies existence and uniqueness in several examples: Connes-Dubois-Violette-Rieffel deformations of compact Riemannian manifolds obtained from free and isometric torus actions, quantum Heisenberg manifolds, the fuzzy 3-sphere, and Connes-Landi deformations of spectral triples. Levi-Civita connections as such, are defined on 1-forms instead of the derivations used in other approaches.
Reviewer: Iakovos Androulidakis (Athína)
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