Stiefel流形和Grassmann流形的高维度量测度极限
High-dimensional metric-measure limit of Stiefel and Grassmann manifolds
摘要：
本文研究了在Gromov拓扑中作为度量测度空间的（射影）Stiefel流形和Grassmann流形的高维极限.极限是无限维高斯空间或其商的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Grassmann流形的可观测直径的一些渐近估计。
英文摘要：
We study the high-dimensional limit of (projective) Stiefel and Grassmann manifolds as metric measure spaces in Gromov's topology. The limits are either the infinite-dimensional Gaussian space or its quotient by an mm-isomorphic group action, which are drastically different from the manifolds. As a corollary, we obtain some asymptotic estimates of the observable diameter of (projective) Stiefel and Grassmann 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。
