Curvature in noncommutative geometry

DOI10.1007/978-3-030-29597-4_6zbMath1454.58024arXiv1901.07438OpenAlexW2913122007MaRDI QIDQ3297177

Farzad Fathizadeh, Masoud Khalkhali

Publication date: 3 July 2020

Published in: Advances in Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07438

zbMATH Keywords

Riemannian manifoldscurvaturenon-commutative geometry

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative global analysis, noncommutative residues (58J42)

Related Items

Spectral metric and Einstein functionals ⋮ A new look at Levi-Civita connection in noncommutative geometry ⋮ Four-dimensional gravity on a covariant noncommutative space ⋮ On the Koszul formula in noncommutative geometry ⋮ Gauge theory on noncommutative Riemannian principal bundles ⋮ Riemannian geometry of a discretized circle and torus ⋮ Spectral triples with multitwisted real structure ⋮ Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results ⋮ Levi-Civita connections for conformally deformed metrics on tame differential calculi ⋮ Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

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