High-dimensional metric-measure limit of Stiefel and flag manifolds
High-dimensional metric-measure limit of Stiefel and flag manifolds
复制标题
Stiefel 和旗形流形的高维度量测量极限
DOI：
10.1007/s00209-018-2044-y
复制
发表时间：
2018
影响因子：
0.8
通讯作者：
Takatsu Asuka
中科院分区：
文献类型：
--
作者：
Shioya Takashi;Takatsu Asuka
研究了Gromov拓扑中作为度量测度空间的（射影）Stiefel流形和旗流形的高维极限。极限是无限维高斯空间或其商的一些mm-同构群作用，这是显着不同的流形。作为推论，我们得到了（射影）Stiefel流形和旗流形的可观测直径的一些渐近估计。
We study the high-dimensional limit of (projective) Stiefel and flag manifolds as metric measure spaces in Gromov’s topology. The limits are either the infinite-dimensional Gaussian space or its quotient by some mm-isomorphic group actions, which are drastically different from the manifolds. As a corollary, we obtain some asymptotic estimates of the observable diameter of (projective) Stiefel and flag manifolds.