Add to ORKG[[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 在他的文章做如下預測 :如果 R 是一個黎曼三角形區域在一個小於 一 的空間上; S 是在半球上的比較三角形, 並且 S 的周長小於兩倍圓周率並且 S 的邊 不同倫到一點,則 R 的面積不小於 四倍圓周率 減掉 S 的面積.計畫的主要目的研究這個幾何不等式憶測
This book presents the recent developments in the field of geometric inequalities and their applicat...
Název práce: Geometrické lineární a nelineární problémy prostor· funkcí Autor: Petr Petráček Katedra...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
[[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 note we prove a localized form of Alexandrov--Fenchel inequality for convex bodies, i.e. w...
This thesis is divided in two parts. In the first one, using the inverse mean curvature flow, we prove...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
The classical Jung theorem gives an optimal upper estimate for the radius of a bounded subset of R n...
This is a survey paper on Alexandrov space with two-sided curvature bound. Representative works of l...
Our goal is to write an extended version of the notes of a course given by Olivier Guédon at the Po...
Alexandrov spaces are defined via axioms similar to those given by Euclid. The Alexandrov axioms rep...
Here I show the compatibility of two definitions of generalized curvature bounds: the lower bound fo...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
36 pages, 4 figuresThe paper investigates higher dimensional analogues of Burago's inequality boundi...
We shall derive two sufficient conditions for complete finite-dimensional Alexandrov spaces of nonne...
This book presents the recent developments in the field of geometric inequalities and their applicat...
Název práce: Geometrické lineární a nelineární problémy prostor· funkcí Autor: Petr Petráček Katedra...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...
[[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 note we prove a localized form of Alexandrov--Fenchel inequality for convex bodies, i.e. w...
This thesis is divided in two parts. In the first one, using the inverse mean curvature flow, we prove...
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bou...
The classical Jung theorem gives an optimal upper estimate for the radius of a bounded subset of R n...
This is a survey paper on Alexandrov space with two-sided curvature bound. Representative works of l...
Our goal is to write an extended version of the notes of a course given by Olivier Guédon at the Po...
Alexandrov spaces are defined via axioms similar to those given by Euclid. The Alexandrov axioms rep...
Here I show the compatibility of two definitions of generalized curvature bounds: the lower bound fo...
The purpose of this course is to introduce the synthetic treatment of sectional curvature upper-boun...
36 pages, 4 figuresThe paper investigates higher dimensional analogues of Burago's inequality boundi...
We shall derive two sufficient conditions for complete finite-dimensional Alexandrov spaces of nonne...
This book presents the recent developments in the field of geometric inequalities and their applicat...
Název práce: Geometrické lineární a nelineární problémy prostor· funkcí Autor: Petr Petráček Katedra...
Abstract. It is proved that a convex hypersurface in a Riemannian manifold of sectional curvature>...