On the spread of positively curved Alexandrov spaces

研究成果: Article査読

抄録

It was proved by F. Wilhelm that Gromov's filling radius of closed positively curved manifolds with a uniform lower bound on sectional curvature attains the maximum with the round sphere. Recently the author proved that this is also the case for closed finite-dimensional Alexandrov spaces with a positive lower curvature bound. These were proved as a corollary of a comparison theorem for the invariant called spread of those spaces. In this paper, we extend the latter result to infinite-dimensional Alexandrov spaces.

本文言語English
ページ(範囲)293-304
ページ数12
ジャーナルMathematische Zeitschrift
277
1-2
DOI
出版ステータスPublished - 2014 6
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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