Isometric embeddings in R3 of an annulus with a locally euclidean metric which are multivalued of cylindrical type

被引：0
|
作者：
Mikhalev, S. N. [1 ]
Sabitov, I. Kh. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2015年 / 98卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
locally Euclidean metric; isometric embedding; isometric immersion; cylindrical surface; planar graph;
D O I：
10.1134/S0001434615090096
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that a locally Euclidean metric on a circular annulus admitting an isometric immersion in R-2 which is multivalued of cylindrical type can be isometrically embedded in R-3 as a cylindrical surface.
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页码：441 / 447
页数：7
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