Bianchi Classification

In mathematics, the Bianchi classification, named for Luigi Bianchi, is a classification of the 3-dimensional real Lie algebras into 11 classes, 9 of which are single groups and two of which have a continuum of isomorphism classes. (Sometimes two of the groups are included in the infinite families, giving 9 instead of 11 classes.) The term "Bianchi classification" is also used for similar classifications in other dimensions.

Read more about Bianchi Classification:  Classification in Dimension Less Than 3, Classification in Dimension 3, Structure Constants, Cosmological Application, Curvature of Bianchi Spaces