On the scalar curvature for the noncommutative four torus

DOI10.1063/1.4922815zbMath1327.58010arXiv1410.8705OpenAlexW1941843232MaRDI QIDQ5264408

Farzad Fathizadeh

Publication date: 27 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8705

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Noncommutative differential geometry (46L87) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Noncommutative geometry (à la Connes) (58B34)

Related Items (12)

Spectral action for Bianchi type-IX cosmological models ⋮ Laplace-Beltrami operators on noncommutative tori ⋮ Gauss-Bonnet for matrix conformally rescaled Dirac ⋮ Scalar curvature in conformal geometry of Connes-Landi noncommutative manifolds ⋮ Spectral metric and Einstein functionals ⋮ Curvature in noncommutative geometry ⋮ Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature ⋮ Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori ⋮ Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals ⋮ Pseudodifferential calculus on noncommutative tori, II. Main properties ⋮ Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results ⋮ On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for \(C^*\)-dynamical systems

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