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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/15826

Title: Alexandrov空間的凸性研究
On the Convexity of Alexandrov Spaces
Authors: 陳健雄
Contributors: 數學系
Keywords: 亞力山大空間;距離;凸函數;非正曲率;直積
Alexandrov space;Metric;Convex function;Nonpositive curvature;Direct product
Date: 2000
Issue Date: 2013-03-12T04:12:18Z
Publisher: 行政院國家科學委員會
Abstract: 本文主要是研究以下的猜測:假設(MxN,df),是依個具有非正曲率的亞力山大空間,則M和N必為兩個非正曲率空間而且f是凸函數。
The main purpose of this paper is to investigate the following conjecture:suppose that warped product space (MxN,df) is a non-postive curved Alexandrov space, then both M and N must be non-postive curved Alexandrov space and function f is convex.
Relation: 國科會計畫, 計畫編號: NSC89-2115-M018-007; 研究期間: 8808-8907
Appears in Collections:[數學系] 國科會計畫

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