A.D. Alexandrov spaces with curvature bounded below
A.D. Alexandrov spaces with curvature bounded below
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DOI：
10.1070/rm1992v047n02abeh000877
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发表时间：
1992-04
影响因子：
0.9
通讯作者：
Yu. D. Burago;M. Gromov;G. Perelman
中科院分区：
文献类型：
--
作者：
Yu. D. Burago;M. Gromov;G. Perelman
第一节.导言§ 2.基本概念§ 3.全球化定理§ 4.自然结构§ 5.爆裂点§ 6.尺寸§ 7.切锥与方向空间。约定和符号§ 8.粗体积的估计和紧性定理§ 9。几乎等距定理§ 10。Hausdorff measure § 11.具有方向导数的函数，逐次逼近的方法，几乎正则映射的水平曲面§ 12。几乎正则映射的水平线§ 13。随后的结果和未决问题
CONTENTS § 1. Introduction § 2. Basic concepts § 3. Globalization theorem § 4. Natural constructions § 5. Burst points § 6. Dimension § 7. The tangent cone and the space of directions. Conventions and notation § 8. Estimates of rough volume and the compactness theorem § 9. Theorem on almost isometry §10. Hausdorff measure §11. Functions that have directional derivatives, the method of successive approximations, level surfaces of almost regular maps §12. Level lines of almost regular maps §13. Subsequent results and open questionsReferences