On Invariant Connections over a Principal Fibre Bundle
On Invariant Connections over a Principal Fibre Bundle
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主光纤束上的不变连接
DOI：
10.1017/s0027763000023461
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发表时间：
1958
影响因子：
0.8
通讯作者：
Hsien
中科院分区：
文献类型：
--
作者：
Hsien
李群G的陪集空间G/J上的不变仿射联络已被许多作者讨论过。最近，Nomizu [8]系统地研究了J在G中可约时的这一问题.在其他成果，他建立了1-1之间的对应关系不变仿射连接和某些多线性映射，并计算了扭转和曲率。对于第二类典型仿射联络，给出了完整群。
The invariant affine connection over a coset space G/J of a Lie group G have been discussed by various authors. Recently, Nomizu [8] gave a systematic study of this problem when J is reductible in G. Among other results, he established a 1-1 correspondence between the invariant affine connections and certain multilinear mappings, and calculated the torsion and curvature. For canonical affine connection of the second kind, the holonomy group was also given.