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

页码：187 / 208

页数：22

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