Helicoidal surfaces under the cubic screw motion in Minkowski 3-space

被引：22

作者：

Ji, FH ^{[1
]}

Hou, ZH

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

[2] Tonghua Teachers Coll, Dept Math, Tonghua 134002, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 318卷 / 02期

关键词：

Minkowski space; helicoidal surface; cubic screw motion;

D O I：

10.1016/j.jmaa.2005.06.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct helicoidal surfaces under the cubic screw motion with prescribed mean or Gauss curvature in Minkowski 3-space E-1(3). We also find ex licitly the relation between the mean curvature and Gauss curvature of them. Furthermore, we discuss helicoidal surfaces under the cubic screw motion with H-2 = K and prove that these surfaces have equal constant principal curvatures. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：634 / 647

页数：14

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