Evolution of quaternionic curve in the semi-Euclidean space E24

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

Mathematical Methods in the Applied Sciences, cilt.44, sa.9, ss.7577-7587, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 44 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.6374
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.7577-7587
  • Anahtar Kelimeler: evolution, inextensible flow, semi-Euclidean space, semi-real quaternion
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 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.