arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1809.02865math.DGmath.MGmath.RT
收藏

高度弯曲的轨道空间

Highly curved orbit spaces

Claudio Gorodski

摘要:

已知单位球面上等距作用的轨道空间的截面曲率(在正则部分上)的下确界在上有界$4$ .我们表明,下确界是$1$的“大多数”行动,并确定的情况下,它是大于$1$。

英文摘要:

It is known that the infimum of the sectional curvatures (on the regular part) of orbit spaces of isometric actions on unit spheres in bounded above by $4$. We show that the infimum is $1$ for "most" actions, and determine the cases in which it is bigger than $1$.

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。

↑