On pseudo null Bertrand curves in Minkowski space-time

GÖK İ., Nurkan S., Ilarslan K.

Kyungpook Mathematical Journal, cilt.54, sa.4, ss.685-697, 2014 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.5666/kmj.2014.54.4.685
  • Dergi Adı: Kyungpook Mathematical Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.685-697
  • Anahtar Kelimeler: (1, 3)-Bertrand curve, Frenet vectors, Minkowski space-time, Pseudo null curve
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k1(s) = 1, k2(s) ≠ 0 and k3(s) other than itself in Minkowski spacetime E41 and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1; 3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1; 3)-Bertrand curves in Minkowski spacetime.