Linear connections on matrix geometries

DOI10.1088/0264-9381/12/6/009zbMath0824.58008arXivhep-th/9411127OpenAlexW2022677423MaRDI QIDQ4838574

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Publication date: 16 November 1995

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9411127

zbMATH Keywords

noncommutative geometrymatrix algebraslinear connection

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Connections (general theory) (53C05)

Related Items (20)

On curvature in noncommutative geometry ⋮ The Einstein action for algebras of matrix valued functions—Toy models ⋮ Differential calculi and linear connections ⋮ Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space ⋮ On the first-order operators in bimodules ⋮ *-compatible connections in noncommutative Riemannian geometry ⋮ Gauge theories on quantum spaces ⋮ Linear connections on extended space-time ⋮ On the noncommutative Riemannian geometry of GLq(n) ⋮ A natural basis of states for the noncommutative sphere and its Moyal bracket ⋮ Classical gravity on fuzzy space-time ⋮ Linear connections on graphs ⋮ Exact solutions with noncommutative symmetries in Einstein and gauge gravity ⋮ ρ-DIFFERENTIAL CALCULI AND LINEAR CONNECTIONS ON MATRIX ALGEBRA ⋮ Curvature and geometric modules of noncommutative spheres and tori ⋮ Riemannian geometry of a discretized circle and torus ⋮ Extending tangent bundles by an algebra bundle ⋮ EXAMPLES OF DERIVATION-BASED DIFFERENTIAL CALCULI RELATED TO NONCOMMUTATIVE GAUGE THEORIES ⋮ Connections on central bimodules in noncommutative differential geometry ⋮ Bimodule connections for relative line modules over the irreducible quantum flag manifolds

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