Evolution of quaternionic curve in the semi-Euclidean space E24

Kızılay A., YILDIZ Ö. G., OKUYUCU O. Z.

Mathematical Methods in the Applied Sciences, vol.44, no.9, pp.7577-7587, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 44 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.6374
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.7577-7587
  • Keywords: evolution, inextensible flow, semi-Euclidean space, semi-real quaternion
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 2020 John Wiley & Sons, Ltd.In this paper, kinematics of semi-real quaternionic curve in semi-Euclidean space (Formula presented.) is obtained in terms of its curvature functions. The evolution equation of Frenet frame and curvatures of quaternionic curve are obtained. Also, examples of evolution equations of curvatures are given.