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| arXiv:0707.2870 |
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Title: Linear Poisson structures on R^4
Authors: Sheng Yunhe
Categories: math.DG Differential Geometry (physics.math-ph Mathematical Physics)
Comments: 14 pages, no figure
Journal reference: J. Geom. Phys. 57 (2007), 2398-2410
Abstract: 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.
Owner: Sheng Yunhe
Version 1: Thu, 19 Jul 2007 10:50:55 GMT
Version 2: Thu, 16 Aug 2007 15:16:31 GMT
Version 3: Tue, 25 Mar 2008 18:43:19 GMT
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