The Ricci curvature for noncommutative three tori

DOI10.1016/J.GEOMPHYS.2020.103717zbMath1443.58015arXiv1808.02977OpenAlexW3024090139MaRDI QIDQ2186802

Asghar Ghorbanpour, Masoud Khalkhali, Rui Dong

Publication date: 9 June 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02977

zbMATH Keywords

scalar and Ricci curvaturecurved noncommutative three torusnonconformal metrics

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Noncommutative geometry (à la Connes) (58B34) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (3)

Curvature in noncommutative geometry ⋮ Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals ⋮ Pseudodifferential calculus on noncommutative tori, II. Main properties

Cites Work

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• The Ricci curvature in noncommutative geometry
• Scalar curvature for the noncommutative two torus
• The Gauss-Bonnet Theorem for the noncommutative two torus
• Modular curvature for noncommutative two-tori
• Gauss-Bonnet for matrix conformally rescaled Dirac
• The term a_4 in the heat kernel expansion of noncommutative tori
• Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals
• Pseudodifferential calculus on noncommutative tori, II. Main properties

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