An Introduction to the geometry of Alexandrov spaces
An Introduction to the geometry of Alexandrov spaces
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亚历山德罗夫空间几何简介
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
K. Shiohama
中科院分区：
文献类型：
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作者：
K. Shiohama
本文是根据1992年7月13日至17日在韩国春川广源大学举行的大宇微分几何讲习班上所作的演讲而写成的。本文旨在沿着介绍A. D.亚历山德罗夫布拉戈湾Gromov和Perelman [A]，[BGP] Alexandrov空间的几何给非黎曼几何专家，包括研究生与黎曼几何的最小背景。Alexandrov空间是由A. D. Alexandrov引入的一个完备的局部紧长度空间，其曲率在上下有界。Busemann G-空间是一种特殊的Alexandrov空间，它具有测地完备性，其中定义了曲率的上下界
This note was based on the lectures given at the Daewoo Workshop on Differential Geometry held at Kwang Won University, Chunchon, Korea from 13th till 17th July, 1992. The purpose of this note is to introduce along with the works by A. D. Alexandrov, Y. Burago, M. Gromov and Perelman [A], [BGP] the Geometry of Alexandrov spaces to non-specialists of Riemannian geometry including graduate students with minimum back ground on Riemannian geometry. An Alexandrov space is a complete and locally compact length space with curvature bounded below or above and introduced by A.D.Alexandrov. The Busemann G-spaces are special Alexandrov spaces admitting geodesic completeness, where the notion of curvature bounded below or above are defined