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Bianchi classification

In mathematics, the Bianchi classification provides a list of all real 3-dimensional Lie algebras (up to isomorphism). The classification contains 11 classes, 9 of which contain a single Lie algebra and two of which contain a continuum-sized family of Lie algebras. (Sometimes two of the groups are included in the infinite families, giving 9 instead of 11…

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Classification in dimension less than 3

Classification in dimension 3

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Bianchi classification

Nodes86
Edges85
Triples1
Avg. degree1.98
Density0.023256
Components1

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displaystyle group lie type metric space bianchi matrix one constants outer automorphism simply transformations eq algebra connected classification unimodular homogeneous

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SubjectPredicateObjectConfidenceSrc
isotropy leaves considerably more freedom in choosing the metricinstance ofAssuming only space homogeneity with no additional symmetry0.80text

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