Pseudo null growth model and its classifications based on generalized vortex filament equation

Jinhua Qian; Yao Guo; Young Ho Kim

doi:10.1016/j.heliyon.2022.e11600

Pseudo null growth model and its classifications based on generalized vortex filament equation

Heliyon. 2022 Nov 15;8(11):e11600. doi: 10.1016/j.heliyon.2022.e11600. eCollection 2022 Nov.

Authors

Jinhua Qian¹, Yao Guo¹, Young Ho Kim²

Affiliations

¹ Department of Mathematics, Northeastern University, Shenyang 110819, People's Republic of China.
² Department of Mathematics, Kyungpook National University, Daegu 41566, Republic of Korea.

Abstract

The pseudo null growth model in Minkowski 3-space is shaped by evolving a pseudo null curve as denoted direction, growth velocity, and stretch in this paper. Meanwhile, the idea of the generalized Hasimoto surfaces is proposed based on the vortex filament equation. The conditions and geometric structures of the generalized Hasimoto pseudo null growth surfaces are investigated accompanied by some typical examples.

Keywords: Hasimoto surface; Minkowski space; Pseudo null growth surface; Structure function.