共 50 条
Principal bundle structure on jet prolongations of frame bundles
被引:1
|作者:
Brajercik, J.
[1
]
Demko, M.
[1
]
Krupka, D.
[2
,3
,4
]
机构:
[1] Univ Presov, Dept Phys Math & Tech, Ul 17 Novembra 1, SK-08116 Presov, Slovakia
[2] Beijing Inst Technol, Sch Math, Beijing 100081, Peoples R China
[3] La Trobe Univ, Dept Math, Melbourne, Vic 3086, Australia
[4] Univ Ostrava, Dept Math, CZ-70103 Ostrava, Czech Republic
基金:
美国国家科学基金会;
关键词:
principal bundle;
frame bundle;
structure group;
prolongation;
associated bundle;
D O I:
10.2478/s12175-014-0275-x
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we introduce the structure of a principal bundle on the r-jet prolongation J (r) FX of the frame bundle FX over a manifold X. Our construction reduces the well-known principal prolongation W (r) FX of FX with structure group G (n) (r) . For a structure group of J (r) FX we find a suitable subgroup of G (n) (r) . We also discuss the structure of the associated bundles. We show that the associated action of the structure group of J (r) FX corresponds with the standard actions of differential groups on tensor spaces.
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页码:1277 / 1290
页数:14
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