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 classes.) The classification is important in geometry and physics, because the associated Lie groups serve as symmetry groups of 3-dimensional Riemannian manifolds. It is named for Luigi Bianchi, who worked it out in 1898.
The term "Bianchi classification" is also used for similar classifications in other dimensions and for classifications of complex Lie algebras.
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mathematics, the Bianchiclassification provides a list of all real 3-dimensional Lie algebras (up to isomorphism). The classification contains 11 classes...
geometry, The contracted Bianchi identities in general relativity, The Bianchiclassification of 3D Lie algebras, The Bianchi group, the projective special...
Bianchi and Dini supervised the dissertation of the noted analyst and geometer Guido Fubini. In 1898, Bianchi worked out the Bianchiclassification of...
the list of simple Lie groups; the Bianchiclassification of groups of up to three dimensions; see classification of low-dimensional real Lie algebras...
cosmology using the general theory of relativity makes use of the Bianchiclassification system. Homogeneous spaces in relativity represent the space part...
(This list is closely related to, but not identical with, the Bianchiclassification of the three-dimensional real Lie algebras into nine classes.) Hamilton...
three-dimensional subalgebras use the Bianchiclassification scheme: X 1 , X 2 , X 3 {\displaystyle X_{1},X_{2},X_{3}} generate a Bianchi V subalgebra, isomorphic...
inflation. The metric Misner studied is also known as the Bianchi type IX metric. Bianchiclassification BKL singularity Barry R. Parker, Chaos in the Cosmos:...
Kustaanheimo-Qvist metric, and Senovilla metric. The Bianchi metrics as given in the Bianchiclassification and Kantowski-Sachs metrics are homogeneous. The...
Championships after outsprinting Wouter Wippert. During a review of Groenewegen's Bianchi Oltre XR4 bicycle, Simon Richardson of Global Cycling Network said he is...
leader of the general classification. There are other jerseys as well: the green jersey, worn by the leader of the points classification; the polka dot jersey...
2019. "Team Jumbo-Visma 2020 roster presented in Amsterdam". Bianchi. F.I.V. Edoardo Bianchi S.p.A. December 20, 2019. Archived from the original on January...
connection with the Bianchi groups: the 3-dimensional Lie groups. Most Thurston geometries can be realized as a left invariant metric on a Bianchi group. However...
co-title sponsored by Italian companies Liquigas and Bianchi, therefore it was named Liquigas–Bianchi. It featured a number of big names including Italian...
almost prevented the team from starting, but after Bianchi stepped in as a new sponsor, Team Bianchi was allowed to take the place of Team Coast. The highest...
season since 1994 to see an accident with fatal consequences as Jules Bianchi died on 17 July 2015 after spending nine months in a coma following a crash...
Coast team folding in May 2003. Ullrich moved on to the newly founded Team Bianchi, set up from the remainders of Coast by Jacques Hanegraaf, a former cyclist...
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