非仿射束中的域II。调和映射的规范耦合推广及其Bunting恒等式
Fields In Nonaffine Bundles II. Gauge coupled generalization of harmonic mappings and their Bunting identities
摘要：
在前面的文章中建立的通用bitensorially规范协变微分程序是专门用于具有非线性纤维的丛的特殊情况，这些纤维具有无挠黎曼或伪黎曼结构。这种形式主义是用来推广类的调和映射之间的黎曼或伪黎曼空间的一个自然规范耦合的扩展形式的一类领域的部分具有原始的图像空间作为纤维束，与不可积规范连接$\Amr$属于代数的等距群的纤维空间。邦廷恒等式，可用于建立在严格正黎曼情况下的唯一性与负的图像空间曲率被证明是可推广到这个规范耦合扩展。
英文摘要：
The general purpose bitensorially gauge-covariant differentiation procedure set up in the preceding article is specialised to the particular case of bundles with nonlinear fibres that are endowed with a torsion free Riemannian or pseudo-Riemannian structure. This formalism is used to generalize the class of harmonic mappings between Riemannian or pseudo-Riemannian spaces to a natural gauge coupled extension in the form of a class of field sections of a bundle having the original image space as fibre, with a nonintegrable gauge connection $\Amr$ belonging to the algebra of the isometry group of the fibre space. The Bunting identity that can be used for establishing uniqueness in the strictly positive Riemannian case with negative image space curvature is shown to be generalizable to this gauge coupled extension.
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