齐次三流形中的螺旋面杀伤场、螺旋面和直纹极小曲面

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI:10.4134/JKMS.J170671

Young‐Wook Kim, Sung-Eun Koh, H. Lee, Heayong Shin, Seong-Deog Yang

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引用次数: 2

摘要

我们给出了任意三流形中的螺旋面杀戮场和螺旋面的定义，并研究了均匀三流形中的螺旋面和直纹最小曲面，主要是在SL2R和Sol(3)中。这样我们就完成了4维等距群齐次三流形的直纹极小曲面的分类。

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Helicoidal killing fields, helicoids and ruled minimal surfaces in homogeneous three-manifolds

We provide definitions for the helicoidal Killing field and the helicoid in arbitrary three-manifolds, and investigate helicoids and ruled minimal surfaces in homogeneous three-manifolds, mainly in SL2R and Sol(3). In so doing we finish our classification of ruled minimal surfaces in homogeneous three-manifolds with the isometry group of dimension 4.

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).