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
收藏
页码：169 / 181
页数：13
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