On The Hasimoto Surfaces in Euclidean 3-space

UĞUR KAYMANLI G., EKİCİ C., KOÇAK M.

Journal Of Science And Arts, vol.22, no.4, pp.883-890, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.46939/j.sci.arts-22.4-a10
  • Journal Name: Journal Of Science And Arts
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.883-890
  • Keywords: curvature, Hasimoto surface, q-frame, vortex filament
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In the present study, we work on the Hasimoto surfaces in three-dimensional Euclidean space by using q-frame. Calculating the coefficients of fundamental forms, we present Gaussian and mean curvatures of these Hasimoto surfaces. Lastly, we find some characterization of parameter curves of these Hasimoto surfaces.