arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.1598math.DGmath.DS
收藏

透明连接的Bäcklund变换

Bäcklund transformations for transparent connections

Gabriel P. Paternain

摘要:

设$M$为负曲率的闭可定向曲面。如果一个连接沿闭测地线的平行输运是单位元,则称该连接是透明的。我们描述了所有的透明SU(2)-连接,我们表明,它们可以建立从适当的Bäcklund变换。

英文摘要:

Let $M$ be a closed orientable surface of negative curvature. A connection is said to be transparent if its parallel transport along closed geodesics is the identity. We describe all transparent SU(2)-connections and we show that they can be built up from suitable Bäcklund transformations.

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。

↑