Generalized surfaces with constant H/K in Euclidean three-space

被引：3

作者：

Kim, Young Wook

Koh, Sung-Etm

Shin, Heayong

Yang, Seong-Deog ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136701, South Korea

[2] Konkuk Univ, Dept Math, Seoul 143701, South Korea

[3] Chung Ang Univ, Dept Math, Seoul 156756, South Korea

来源：

MANUSCRIPTA MATHEMATICA | 2007年 / 124卷 / 03期

关键词：

D O I：

10.1007/s00229-007-0125-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Surfaces in Euclidean three-space with constant ratio of mean curvature to Gauss curvature arise naturally as the parallel surfaces to minimal surfaces. They might possess singularities which occur naturally as focal points of minimal surfaces. We study geometric properties and the singularities of such surfaces, prove some global results about them, and provide a Bjorling formula to construct such surfaces with prescribed point or curve singularities.

引用

页码：343 / 361

页数：19

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