The Riemannian structure of Alexandrov spaces

Yukio Otsu; Takashi Shioya

doi:10.4310/jdg/1214455075

The Riemannian structure of Alexandrov spaces

Yukio Otsu
, Takashi Shioya

代数幾何部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

127 被引用数 (Scopus)

抄録

Let X be an n -dimensional Alexandrov space of curvature bounded from below. We define the notion of singular point in X, and prove that the set S_χ of singular points in X is of Hausdorff dimension ≤ n - 1 and that X - S_x has a natural C°-Riemannian structure.

本文言語	英語
ページ（範囲）	629-658
ページ数	30
ジャーナル	Journal of Differential Geometry
巻	39
号	3
DOI	https://doi.org/10.4310/jdg/1214455075
出版ステータス	出版済み - 5月 1994

!!!All Science Journal Classification (ASJC) codes

分析
代数と数論
幾何学とトポロジー

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10.4310/jdg/1214455075

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AB - Let X be an n -dimensional Alexandrov space of curvature bounded from below. We define the notion of singular point in X, and prove that the set Sχ of singular points in X is of Hausdorff dimension ≤ n - 1 and that X - Sx has a natural C°-Riemannian structure.

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The Riemannian structure of Alexandrov spaces

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!!!All Science Journal Classification (ASJC) codes

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