论文标题
主纤维束上的小甲虫
Martingales on Principal Fiber Bundles
论文作者
论文摘要
令$ p（m，g）$为主光纤捆绑包，让$ω$为$ p（m，g）$上的连接表格，并考虑$ p（m，g）$上的可预测连接$ \ nabla^{p} $。这项工作的目的是确定$ \ nabla^{p} $ - $ p（m，g）$中的martingales。我们的结果允许建立从Riemannian流形到主纤维束的谐波图的新特征。
Let $P(M,G)$ be a principal fiber bundle, let $ω$ be a connection form on $P(M,G)$, and consider a projectable connection $\nabla^{P}$ on $P(M,G)$. The aim of this work is to determine the $\nabla^{P}$-martingales in $P(M,G)$. Our results allow establishing new characterizations of harmonic maps from Riemannian manifolds to principal fiber bundles.
