Frenet Curve Couples in Three Dimensional Lie Groups

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OKUYUCU O. Z.

CMES - Computer Modeling in Engineering and Sciences, cilt.133, sa.3, ss.653-671, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 133 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.32604/cmes.2022.021081
  • Dergi Adı: CMES - Computer Modeling in Engineering and Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.653-671
  • Anahtar Kelimeler: curvatures, Curves, Frenet plane, lie groups
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 2022 Tech Science Press. All rights reserved.In this study, we examine the possible relations between the Frenet planes of any given two curves in three dimensional Lie groups with left invariant metrics. We explain these possible relations in nine cases and then introduce the conditions that must be met to coincide with the planes of these curves in nine theorems.