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
相关论文
共 50 条
  • [1] Generalized Hasimoto-type surfaces of null growth in Minkowski 3-space
    Jinhua Qian
    Yawen Li
    Xueshan Fu
    Mathematische Annalen, 2024, 389 : 187 - 208
  • [2] Geometry of Hasimoto Surfaces in Minkowski 3-Space
    Erdogdu, Melek
    Ozdemir, Mustafa
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2014, 17 (1-2) : 169 - 181
  • [3] Geometry of Hasimoto Surfaces in Minkowski 3-Space
    Melek Erdoğdu
    Mustafa Özdemir
    Mathematical Physics, Analysis and Geometry, 2014, 17 : 169 - 181
  • [4] Generalized Null 2-Type Surfaces in Minkowski 3-Space
    Yoon, Dae Won
    Kim, Dong-Soo
    Kim, Young Ho
    Lee, Jae Won
    SYMMETRY-BASEL, 2017, 9 (01):
  • [5] Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space
    Gurbuz, Nevin
    Yoon, Dae Won
    DEMONSTRATIO MATHEMATICA, 2020, 53 (01) : 277 - 284
  • [6] The Chen type of Hasimoto surfaces in the Euclidean 3-space
    Al-Zoubi, Hassan
    Senoussi, Bendehiba
    Al-Sabbagh, Mutaz
    Ozdemir, Mehmet
    AIMS MATHEMATICS, 2023, 8 (07): : 16062 - 16072
  • [7] ON THE HASIMOTO SURFACES IN EUCLIDEAN 3-SPACE
    Kaymanli, Gul Ugur
    Ekici, Cumali
    Kocak, Mahmut
    JOURNAL OF SCIENCE AND ARTS, 2022, (04): : 883 - 890
  • [8] Geometry and evolution of Hasimoto surface in Minkowski 3-space
    Abdel-Aziz, H. S.
    Serry, H. M.
    El-Adawy, F. M.
    Saad, M. Khalifa
    PLOS ONE, 2024, 19 (01):
  • [9] Twisted Surfaces with Null Rotation Axis in Minkowski 3-Space
    Wendy Goemans
    Ignace Van de Woestyne
    Results in Mathematics, 2016, 70 : 81 - 93
  • [10] Twisted Surfaces with Null Rotation Axis in Minkowski 3-Space
    Goemans, Wendy
    Van de Woestyne, Ignace
    RESULTS IN MATHEMATICS, 2016, 70 (1-2) : 81 - 93
12345