期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
An Integrability Condition for Simple Lie Groups II | |
article | |
Maung Min-Oo1  | |
[1] Department of Mathematics & Statistics, McMaster University | |
关键词: simple Lie groups and algebras; G-structure; | |
DOI : 10.3842/SIGMA.2015.027 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
It is shown that a simple Lie group $G$ ($ \neq {\rm SL}_2$) can be locally characterised by an integrability condition on an $\operatorname{Aut}(\mathfrak{g})$ structure on the tangent bundle, where $\operatorname{Aut}(\mathfrak{g})$ is the automorphism group of the Lie algebra of $G$. The integrability condition is the vanishing of a torsion tensor of type $(1,2)$. This is a slight improvement of an earlier result proved in [Min-Oo M., Ruh E.A., in Differential Geometry and Complex Analysis, Springer, Berlin, 1985, 205-211].
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300001255ZK.pdf | 227KB | download |