Developable surfaces in Euclidean space

被引：14
|
作者：
Ushakov, V [1 ]
机构：
[1] Univ Melbourne, Dept Math, Parkville, Vic 3052, Australia
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1999年 / 66卷
关键词：
developable surface; planar point; ruled surface; flat metric; point codimension of a surface; local codimension of a surface; affinely stable immersion;
D O I：
10.1017/S1446788700036685
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The classical notion of a two-dimensional developable surface in Euclidean three-space is extended to the case of arbitrary dimension and codimension. A collection of characteristic properties is presented. The theorems are stated with the minimal possible integer smoothness. The main tool of the investigation is Cartan's moving frame method.
引用
收藏
页码：388 / 402
页数：15
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