Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (3): 657-668.

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Structure Expression Form of Isotropic Growth Surface

Qian Jinhua1,*(),Bian Jinxin1,Fu Xueshan2   

  1. 1College of Science, Northeastern University, Shenyang 110819
    2College of Science, Shenyang University of Technology, Shenyang 110870
  • Received:2022-05-12 Revised:2023-02-06 Online:2023-06-26 Published:2023-06-01
  • Contact: Jinhua Qian E-mail:qianjinhua@mail.neu.edu.cn
  • Supported by:
    NSFC(11801065);Research Ability Cultivation Fund for Young Teachers of Shenyang University of Technology(QNPY202209-24)

Abstract:

The isotropic growth surface in complex 3-space is investigated by evolving an isotropic curve as dictated growth velocity. The structure expression form of the isotropic growth surface is explored by the aid of the structure function of its generating isotropic curve. As an important application, the isotropic growth surface initiated by the isotropic helix is discussed deeply and explicitly. At the same time, several typical examples are constructed to characterize the generating process of such growth surfaces.

Key words: Complex space, Isotropic curve, Growth surface, Isotropic helix, Structure function

CLC Number: 

  • O186
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