A NEW DESCRIPTION OF SPHERICAL IMAGES ASSOCIATED WITH MINIMAL CURVES IN THE COMPLEX SPACE C-4

YILMAZ S., Unluturk Y.

HONAM MATHEMATICAL JOURNAL, cilt.44, sa.1, ss.121-134, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.5831/hmj.2022.44.1.121
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.121-134
  • Anahtar Kelimeler: Minimal curves, spherical images of minimal curves, isotropic cubic, pseudo-helix, spherical involutes, Riccati differential equation, ISOTROPIC CURVES, SLANT HELIX, TANGENT
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this study, we obtain the spherical images of minimal curves in the complex space in C-4 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.