Frenet Curve Couples in Three Dimensional Lie Groups

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OKUYUCU O. Z.

CMES - Computer Modeling in Engineering and Sciences, vol.133, no.3, pp.653-671, 2022 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 133 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.32604/cmes.2022.021081
  • Journal Name: CMES - Computer Modeling in Engineering and Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.653-671
  • Keywords: curvatures, Curves, Frenet plane, lie groups
  • Open Archive Collection: AVESIS Open Access Collection
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 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.