A new approach to the nonlinear connection associated with second-order (and higher-order) differential equation fields

被引：4
|
作者：
Saunders, DJ
机构：
[1] BBC Production Centre, Open University, Walton Hall
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 05期
关键词：
D O I：
10.1088/0305-4470/30/5/034
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Each second-order (or higher-older) differential equation field defined on a tangent bundle or a jet bundle has an associated (possibly nonlinear) connection. We give a new geometric construction for this connection which uses a single straight forward formula in all cases; the fractional coefficients which complicate the traditional tensor formulae are not required.
引用
收藏
页码：1739 / 1743
页数：5
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