This is a survey paper on Alexandrov space with two-sided curvature bound. Representative works of literature are studied. The main focus is on the regularity and finiteness theorem of Alexandrov space with two-sided curvature bound
[[abstract]]A. D. Alexandrov 在 1950 年代首先距離幾何與廣義黎曼幾何.廣義黎曼流型與黎曼流型不同點是更廣義並且是用距離函數來定義不用座標.B. H. Bowditch...
[[abstract]]本計劃的主要目的是研究下面的問題並由此問題 的解答了解亞力山大空間的幾何性質: 假設 (M,d) ,(N,d’) 分別為 Alexandrov 空間， 其中M 代表實數軸R， ...
In this thesis we recall the basic definitions and properties for Alexandrov space and describe two ...
We show that every finite-dimensional Alexandrov space X with curvature bounded from below embeds ca...
Click on the DOI link to access the article (may not be free).We develop two new tools for use in Al...
A metric invariant ak is defined, and we have that ak(X) ≤ ak(Sn) holds in an Alexandrov space...
We develop two new tools for use in Alexandrov geometry: a theory of ramified orientable double cove...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
Here we generalize quasigeodesics to multidimensional Alexandrov space with curvature bounded from b...
We use a notion of differentiability for functions on Alexan-drov spaces and prove a splitting theor...
We prove a new quantitative version of the Alexandrov theorem which states that if the mean curvatur...
Abstract. To any compact set definable in an o-minimal structure, we associate a signed mea-sure, ca...
We study the Plateau Problem of finding an area minimizing disk bounding a given Jordan curve in a c...
Abstract. Suppose that a sequence of Riemannian manifolds with Ricci curvature ≥ −k2 converges to a ...
We examine properties of equidistant sets determined by nonempty disjoint compact subsets of a compa...
[[abstract]]A. D. Alexandrov 在 1950 年代首先距離幾何與廣義黎曼幾何.廣義黎曼流型與黎曼流型不同點是更廣義並且是用距離函數來定義不用座標.B. H. Bowditch...
[[abstract]]本計劃的主要目的是研究下面的問題並由此問題 的解答了解亞力山大空間的幾何性質: 假設 (M,d) ,(N,d’) 分別為 Alexandrov 空間， 其中M 代表實數軸R， ...
In this thesis we recall the basic definitions and properties for Alexandrov space and describe two ...
We show that every finite-dimensional Alexandrov space X with curvature bounded from below embeds ca...
Click on the DOI link to access the article (may not be free).We develop two new tools for use in Al...
A metric invariant ak is defined, and we have that ak(X) ≤ ak(Sn) holds in an Alexandrov space...
We develop two new tools for use in Alexandrov geometry: a theory of ramified orientable double cove...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
Here we generalize quasigeodesics to multidimensional Alexandrov space with curvature bounded from b...
We use a notion of differentiability for functions on Alexan-drov spaces and prove a splitting theor...
We prove a new quantitative version of the Alexandrov theorem which states that if the mean curvatur...
Abstract. To any compact set definable in an o-minimal structure, we associate a signed mea-sure, ca...
We study the Plateau Problem of finding an area minimizing disk bounding a given Jordan curve in a c...
Abstract. Suppose that a sequence of Riemannian manifolds with Ricci curvature ≥ −k2 converges to a ...
We examine properties of equidistant sets determined by nonempty disjoint compact subsets of a compa...
[[abstract]]A. D. Alexandrov 在 1950 年代首先距離幾何與廣義黎曼幾何.廣義黎曼流型與黎曼流型不同點是更廣義並且是用距離函數來定義不用座標.B. H. Bowditch...
[[abstract]]本計劃的主要目的是研究下面的問題並由此問題 的解答了解亞力山大空間的幾何性質: 假設 (M,d) ,(N,d’) 分別為 Alexandrov 空間， 其中M 代表實數軸R， ...
In this thesis we recall the basic definitions and properties for Alexandrov space and describe two ...
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