Linear Poisson structures on R^4

Details Linear Poisson structures on R^4 Linear Poisson structures on R^4

2007-07-19

arxiv.org/abs/0707.2870v4

J. Geom. Phys. 57 (2007), 2398-2410

Mathematics

Differential Geometry

14 pages, no figure

Scientific paper

We classify all of the 4-dimensional linear Poisson structures of which the
corresponding Lie algebras can be considered as the extension by a derivation
of 3-dimensional unimodular Lie algebras. The affine Poisson structures on R^3
are totally classified.

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