計算在(4+3N )維時空，不可交換K aluza-K lein 理論中，球狀對稱類吳楊dyons 的曲度張量。此 dyons 四維部份的曲度張量是Schw arzschild 黑洞的曲度張量。文中使用兩種不同的方法計算，並用一系列的三維球座標，且曲度張量允許N 個SO ( 3) 的K illing 向量。在高維的愛因斯坦方程式中，其stress-energy 張量，正好就是Y ang-M ills 的stress-energy 張量，而非外加的。另外，高維的R icciscalar curvature R 為

As an exercise, the curvature tensors of a family of spherically symmetric nonabelian Kaluza-Klein Wu-Yang-like dyons in the (4+3N)-dimensional space-times are calculated.The four-dimensional part of these dyonic metrics are the Schwarzschild black hole metric.A series of three-dimensional spherical coor-dinate systems are used, and the metric admits
N copies of the SO(3) Killing vectors. Two di erent methods are employed in this paper.The stress-energy tensor of the Yang-Mills field in Einstein equation is derived from Ricci tensor automatically, not put by hand from outside. The Ricci scalar curvature R van-ishes.