Geometry of Hasimoto Surfaces in Minkowski 3-Space

被引：43

作者：

Erdogdu, Melek ^{[1
]}

Ozdemir, Mustafa ^{[2
]}

机构：

[1] Necmettin Erbakan Univ, Dept Math & Comp Sci, Konya, Turkey

[2] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2014年 / 17卷 / 1-2期

关键词：

Hasimoto surface; Smoke ring equation; Binormal motion; BINORMAL MOTION; SOLITON; CURVES;

D O I：

10.1007/s11040-014-9148-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Hasimoto surfaces in Minkowski 3-space. We discussed the geometric properties of Hasimoto surfaces in M-3 for three cases. The Gaussian and mean curvature of Hasimoto surface are found for each case. Then, we give the characterization of parameter curves of Hasimoto surfaces in M-3

引用

页码：169 / 181

页数：13

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