A New Class of Bertrand Curves in Euclidean 4-Space

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Li Y., Uçum A., İlarslan K., CAMCI Ç.

Symmetry, vol.14, no.6, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.3390/sym14061191
  • Journal Name: Symmetry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: Bertrand curves, curvatures, Euclidean space, RULED SURFACES, EVOLUTE OFFSETS, INVARIANTS
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

© 2022 by the authors. Licensee MDPI, Basel, Switzerland.Bertrand curves are a pair of curves that have a common principal normal vector at any point and are related to symmetry properties. In the present paper, we define the notion of (1, 3)-V Bertrand curves in Euclidean 4-space. Then we find the necessary and sufficient conditions for curves in Euclidean 4-space to be (1, 3)-V Bertrand curves. Some related examples are given.