Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NEW DESCRIPTION OF SPHERICAL IMAGES ASSOCIATED WITH MINIMAL CURVES IN THE COMPLEX SPACE ℂ4

  • Yilmaz, Suha (Buca Faculty of Education, Dokuz Eylul University) ;
  • Unluturk, Yasin (Department of Mathematics, Kirklareli University)
  • Received : 2021.10.11
  • Accepted : 2022.01.03
  • Published : 2022.03.25
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Abstract

In this study, we obtain the spherical images of minimal curves in the complex space in ℂ4 which are obtained by translating Cartan frame vector fields to the centre of hypersphere, and present their properties such as becoming isotropic cubic, pseudo helix, and spherical involutes. Also, we examine minimal curves which are characterized by a system of differential equations.

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References

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