On the pair of spacelike bertrand-B curves with timelike principal normal in R3 1

Yerlikaya F., Karaahmetoğlu S., Aydemir İ., Badawi A.

Palestine Journal of Mathematics, cilt.9, sa.2, ss.925-931, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.925-931
  • Anahtar Kelimeler: Minkowski space, Spacelike bertrand-b curve, The pair of spacelike bertrand-b curve, Type-2 bishop frame
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, we introduce a pair of spacelike Bertrand-B curves with timelike principal normal and we divide the work into two subsections with respect to the given tables for the same (or different) types of vectors ζ1 and ζ*2. Firstly, we obtain theorems concerning the pair of spacelike Bertrand-B curves. By using these theorems, we give propositions that express the condition for a pair of spacelike Bertrand-B curves to be planar, spatial and isometric. Finally, we conclude that Bertrand-B curves do not provide the Mannheim’s theorem.