环面圆丛上Coulomb相对规范的存在性

The Existence of Relative Coulomb Gauges on Circle Bundle Over Torus

证明了环面圆丛上相对于标准平坦连络的Ｃｏｕｌｏｍｂ规范的存在性定理，从而推广了Ｋ．Ｕｈｌｅｎｂｅｃｋ关于单位球体Ｂ４上平凡丛上局部Ｃｏｕｌｏｍｂ规范的存在性结果。

t is proved that the existence theorem of Coulomb gauges relative to a canonical flat connection,it is a generalization of K.Uhlenbeck's existence theorem about the local coulomb gauges on the trivial bundle over B￣4 ,the unit ball in R￣4.