四维伪黎曼李代数的分类
The Classification of Pseudo-Riemannian Lie Algebras in Dimension 4
摘要
给出了四维伪黎曼李代数的分类.
Pseudo-Riemannian Lie algebras in dimension 4 are classified.
出处
《南开大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第2期20-22,共3页
Acta Scientiarum Naturalium Universitatis Nankaiensis
关键词
伪度量
伪黎曼李代数
非退化双线性型
pseudo-metric~ pseudo-Riemannian Lie algebra
non-degenerate bilinear form
参考文献3
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1Boucetta M. Compatibilite des structures pseudo-Riemanniennes et des structures de Poisson[J]. C R Acad Sci Paris, 2001, 333(1):763-768.
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2Boucetta M. Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras[J]. Differential Geom Appl, 2004, 20(3): 279-291.
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3Boucetta M. On the Riemann-Lie algebras and Riemann-Poisson Lie groups[J]. J Lie Theory, 2005, 15(1): 183-195.