奇异远程并行
Singular teleparallelism
摘要：
证明了通过将整体标架场在可平行流形上定义的联络推广到奇异标架场在不可平行流形上定义的联络，可平行流形的几何可以推广到不可平行流形.所得到的连接通常在标架场的奇点附近具有非零曲率。一个2-球的例子被讨论作为一个激励的例子，后来扩展到更一般的悬浮液的parallelizable流形。
英文摘要：
It is shown that the geometry of parallelizable manifolds can be extended to non-parallelizable ones by extending the connection that a global frame field would define on a parallelizable manifold to a connection that a singular frame field would define on a non-parallelizable one. The resulting connection would typically have non-vanishing curvature in the neighborhood of the singular points of the frame field. The example of a 2-sphere is discussed as a motivating example and later extended to more general suspensions of parallelizable manifolds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
