The Riemannian structure of Alexandrov spaces

Yukio Otsu, Takashi Shioya

研究成果: ジャーナルへの寄稿記事

90 引用 (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 Sχ of singular points in X is of Hausdorff dimension ≤ n - 1 and that X - Sx has a natural C°-Riemannian structure.

元の言語英語
ページ(範囲)629-658
ページ数30
ジャーナルJournal of Differential Geometry
39
発行部数3
DOI
出版物ステータス出版済み - 1 1 1994

Fingerprint

Alexandrov Space
Singular Point
Hausdorff Dimension
n-dimensional
Curvature

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

これを引用

The Riemannian structure of Alexandrov spaces. / Otsu, Yukio; Shioya, Takashi.

:: Journal of Differential Geometry, 巻 39, 番号 3, 01.01.1994, p. 629-658.

研究成果: ジャーナルへの寄稿記事

Otsu, Yukio ; Shioya, Takashi. / The Riemannian structure of Alexandrov spaces. :: Journal of Differential Geometry. 1994 ; 巻 39, 番号 3. pp. 629-658.
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