Principal bundle structures among second order frame bundles

被引：2
|
作者：
de Leon, M. [1 ]
Martin Mendez, A. [2 ]
机构：
[1] CSIC UAM UC3M UCM, Inst Ciencias Matemat, C Nicolas Cabrera 15,Campus Cotoblanco UAM, E-28049 Madrid, Spain
[2] Univ Vigo, ETSI Telecomunicac, Dept Matemat Aplicada 2, Vigo 36310, Pontevedra, Spain
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2016年 / 47卷
关键词：
Non-holonomic; semi-holonomic and holonomic frame; Jet bundle;
D O I：
10.1016/j.difgeo.2016.04.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using a model for the bundle (F) over cap M-2 of semi-holonomic second order frames of a manifold M as an extension of the bundle (FM)-M-2 of holonomic second order frames of M, we introduce in (F) over cap M-2 a principal bundle structure over (FM)-M-2, the structure group being the additive group A(2) (n) of skew-symmetric bilinear maps from R-n x R-n into R-n. The composition of the projection of that structure with the existing projection of the bundle (F) over cap M-2 of non-holonomic second order frames of M over (F) over cap M-2 provides a principal bundle structure in (F) over cap M-2 over (F) over cap M-2. These results close an existing gap in the theory of second order frame bundles. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：202 / 211
页数：10
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