Discrete Riemannian geometry

DOI10.1063/1.532819zbMath0951.53023arXivgr-qc/9808023OpenAlexW3101681222WikidataQ115328318 ScholiaQ115328318MaRDI QIDQ4701806

Aristophanes Dimakis, Folkert Mueller-Hoissen

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9808023

zbMATH Keywords

polyhedranoncommutative geometryRicci tensorEinstein equations

Mathematics Subject Classification ID

Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Noncommutative geometry in quantum theory (81R60) Global Riemannian geometry, including pinching (53C20) Methods of noncommutative geometry in general relativity (83C65) Noncommutative global analysis, noncommutative residues (58J42)

Related Items

Difference discrete connection and curvature on cubic lattice, Differential geometry of group lattices, Finitary topos for locally finite, causal and quantal vacuum Einstein gravity, Noncommutative Riemannian geometry on graphs, Discrete differential calculus on simplicial complexes and constrained homology, Exterior difference system on hypercubic lattice, Finite group discretization of Yang-Mills and Einstein actions, Simulating anisotropic frictional response using smoothly interpolated traction fields, Formal integrability criteria for nonlinear partial difference equations, Noncommutative Riemannian geometry of the alternating group \({\mathcal A}_{4}\), Connes' spectral triple and \(U\)(1) gauge theory on finite sets

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