Null Quaternionic Cartan Helices in R-v(3)

Aksoy A. T., Coken A. C.

ACTA PHYSICA POLONICA A, vol.132, no.3, pp.896-899, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 132 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.12693/aphyspola.132.896
  • Journal Name: ACTA PHYSICA POLONICA A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.896-899
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this study, we define null quaternionic Bertrand curves in R-v(3) for a null quaternionic curve, which has a single non-zero, constant Cartan curvature tau. We also prove that if a null quaternionic curve with non-zero curvatures in R-v(3) is a null quaternionic Bertrand curve, then it is a null quaternionic helix.