Generalized Hasimoto-type surfaces of null growth in Minkowski 3-space

被引：0
|
作者：
Qian, Jinhua [1 ]
Li, Yawen [1 ]
Fu, Xueshan [2 ]
机构：
[1] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China
[2] Shenyang Univ Technol, Dept Math, Shenyang 110870, Peoples R China
来源：
MATHEMATISCHE ANNALEN | 2024年 / 389卷 / 01期
关键词：
53A04; 51B20; 57R25; VORTEX; MORPHOGENESIS; KINEMATICS; STABILITY; MODELS; CURVE;
D O I：
10.1007/s00208-023-02631-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the idea of the generalized Hasimoto-type surfaces are put forward based on the interaction between vortex filaments. Meanwhie, the surface of null growth is proposed by evolving a null curve as dictated direction and growth velocity in Minkowski 3-space. The conditions and geometric forms of the generalized Hasimoto-type surfaces of null growth are investigated. Last but not least, several typical examples are presented to characterize such surface growth and the corresponding perturbations explicitly.
引用
收藏
页码：187 / 208
页数：22
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