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

Takashi Shioya, Asuka Takatsu

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)873-907
Number of pages35
JournalMathematische Zeitschrift
Issue number3-4
Publication statusPublished - 2018 Dec 1


  • Concentration of measure
  • Gaussian space
  • Metric measure space
  • Observable diameter
  • Pyramid


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