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 |
| 巻 | 39 |
| 発行部数 | 3 |
| DOI | |
| 出版物ステータス | 出版済み - 1 1 1994 |
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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
}
TY - JOUR
T1 - The Riemannian structure of Alexandrov spaces
AU - Otsu, Yukio
AU - Shioya, Takashi
PY - 1994/1/1
Y1 - 1994/1/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84972500357&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84972500357&partnerID=8YFLogxK
U2 - 10.4310/jdg/1214455075
DO - 10.4310/jdg/1214455075
M3 - Article
VL - 39
SP - 629
EP - 658
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
SN - 0022-040X
IS - 3
ER -