On the functorial prolongations of principal bundles

被引:0
|
作者
Kolar, Ivan [1 ]
Cabras, Antonella [2 ]
机构
[1] Masaryk Univ, Dept Algebra & Geometry, Fac Sci, Janackovo 2a, Brno 66295, Czech Republic
[2] Dipartimento Matemat Applicata G Sansone, I-50139 Florence, Italy
来源
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2006年 / 47卷 / 04期
关键词
fiber product preserving bundle functor; weak principal bundle; Lie algebroid; functorial prolongation; Weil algebra;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe the fundamental properties of the infinitesimal actions related with functorial prolongations of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept of weak principal bundle.
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页码:719 / 731
页数:13
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