Nonaffine Bundles中的字段。I.广义双张量协变微分法
Fields in Nonaffine Bundles. I. The general bitensorially covariant differentiation procedure
摘要：
标准的协变微分程序的领域在向量丛的推广，以便适用于领域一般非仿射束中的纤维可能具有任意的非线性结构。除了通常的要求，即基空间应该是平坦的或赋予它自己的线性联络，以及在丛上应该有一个普通的规范联络之外，还必须要求在纤维空间上应该有一个内禀的、群不变的联络。该程序是基于使用一个适当的初级场（即部分）独立的连接器，该连接器是根据天然纤维切向矢量实现的仪表连接。规范调和映射的应用将在下面的文章中描述。
英文摘要：
The standard covariant differentiation procedure for fields in vector bundles is generalised so as to be applicable to fields in general nonaffine bundles in which the fibres may have an arbitrary nonlinear structure. In addition to the usual requirement that the base space should be flat or endowed with its own linear connection, and that there should be an ordinary gauge connection on the bundle, it is necessary to require also that there should be an intrinsic, bundle-group invariant connection on the fibre space. The procedure is based on the use of an appropriate primary-field (i.e. section) independent connector that is constructed in terms of the natural fibre-tangent-vector realisation of the gauge connection. The application to gauged harmonic mappings will be described in a following article.
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