High-dimensional metric-measure limit of Stiefel and flag manifolds

Takashi Shioya, Asuka Takatsu

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)873-907
ページ数35
ジャーナルMathematische Zeitschrift
290
3-4
DOI
出版ステータスPublished - 2018 12 1

ASJC Scopus subject areas

  • 数学 (全般)

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